77:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
2.:@0.108231:0.095699:0.120503:0.095699:0.120503:0.078985:0.108231:0.078985:0.000000:0.000000
  Consideremos la sucesión ( ) definida como::@0.120503:0.095483:0.455864:0.095483:0.455864:0.078985:0.120503:0.078985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.324771:0.095598:0.333749:0.095598:0.333749:0.079129:0.324771:0.079129:0.000000
n:@0.333601:0.098827:0.339060:0.098827:0.339060:0.089225:0.333601:0.089225:0.000000
a a:@0.260021:0.126224:0.263803:0.126591:0.263803:0.110122:0.260021:0.109755:0.000000:0.000000:0.000000
n n:@0.268607:0.128394:0.268828:0.128761:0.268828:0.119229:0.268607:0.118862:0.000000:0.000000:0.000000
= =:@0.278501:0.126744:0.283881:0.127111:0.283881:0.110830:0.278501:0.110463:0.000000:0.000000:0.000000
3 3:@0.293162:0.117273:0.296461:0.117641:0.296461:0.101143:0.293162:0.100776:0.000000:0.000000:0.000000
n n:@0.301485:0.117389:0.305651:0.117756:0.305651:0.101288:0.301485:0.100920:0.000000:0.000000:0.000000
2 2:@0.311011:0.109232:0.310732:0.109598:0.310732:0.100049:0.311011:0.099683:0.000000:0.000000:0.000000
+ + +:@0.319387:0.117904:0.347750:0.118270:0.347750:0.101989:0.319387:0.101623:0.000000:0.000000:0.000000:0.000000:0.000000
n n:@0.331697:0.117384:0.335864:0.117749:0.335864:0.101281:0.331697:0.100915:0.000000:0.000000:0.000000
5 5:@0.354257:0.117268:0.357556:0.117634:0.357556:0.101136:0.354257:0.100770:0.000000:0.000000:0.000000
n n:@0.304154:0.137580:0.308319:0.137945:0.308319:0.121477:0.304154:0.121111:0.000000:0.000000:0.000000
2 2:@0.313681:0.129427:0.313402:0.129794:0.313402:0.120245:0.313681:0.119878:0.000000:0.000000:0.000000
+ +:@0.322057:0.138100:0.327437:0.138466:0.327437:0.122185:0.322057:0.121819:0.000000:0.000000:0.000000
20:@0.334368:0.137464:0.351283:0.137464:0.351283:0.120966:0.334368:0.120966:0.000000:0.000000
, ,:@0.366242:0.126108:0.363800:0.126475:0.363800:0.109977:0.366242:0.109610:0.000000:0.000000:0.000000
n n:@0.401160:0.126224:0.405327:0.126591:0.405327:0.110122:0.401160:0.109755:0.000000:0.000000:0.000000
. .:@0.445449:0.126108:0.443007:0.126475:0.443007:0.109977:0.445449:0.109610:0.000000:0.000000:0.000000
+:@0.314190:0.118270:0.324767:0.118270:0.324767:0.101989:0.314190:0.101989:0.000000
20:@0.329171:0.137830:0.346086:0.137830:0.346086:0.121332:0.329171:0.121332:0.000000:0.000000
∀:@0.382376:0.125902:0.393087:0.125902:0.393087:0.108508:0.382376:0.108508:0.000000
 :@0.108232:0.166300:0.112374:0.166300:0.112374:0.149802:0.108232:0.149802:0.000000
Determinemos el límite de esta sucesión. Para :@0.131966:0.166300:0.470661:0.166300:0.470661:0.149802:0.131966:0.149802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.473715:0.166371:0.482511:0.166371:0.482511:0.150901:0.473715:0.150901:0.000000
+:@0.513551:0.159012:0.519301:0.159012:0.519301:0.148769:0.513551:0.148769:0.000000
 dividimos :@0.520342:0.166299:0.599908:0.166299:0.599908:0.149801:0.520342:0.149801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerador y denominador por  , tenemos::@0.131974:0.183650:0.446961:0.183650:0.446961:0.167152:0.131974:0.167152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.360726:0.183765:0.370088:0.183765:0.370088:0.167296:0.360726:0.167296:0.000000
2:@0.370090:0.177364:0.374796:0.177364:0.374796:0.167763:0.370090:0.167763:0.000000
 :@0.196650:0.272876:0.200792:0.272876:0.200792:0.256378:0.196650:0.256378:0.000000
a:@0.203769:0.237790:0.212746:0.237790:0.212746:0.221321:0.203769:0.221321:0.000000
n:@0.212354:0.239960:0.217773:0.239960:0.217773:0.230428:0.212354:0.230428:0.000000
=:@0.222248:0.238224:0.232825:0.238224:0.232825:0.219384:0.222248:0.219384:0.000000
3:@0.236909:0.228840:0.245405:0.228840:0.245405:0.212342:0.236909:0.212342:0.000000
n:@0.245232:0.228956:0.254595:0.228956:0.254595:0.212487:0.245232:0.212487:0.000000
2:@0.254760:0.220799:0.259677:0.220799:0.259677:0.211250:0.254760:0.211250:0.000000
+ +:@0.263136:0.229384:0.296696:0.229384:0.296696:0.210544:0.263136:0.210544:0.000000:0.000000:0.000000
n:@0.275446:0.228950:0.284809:0.228950:0.284809:0.212481:0.275446:0.212481:0.000000
5:@0.298006:0.228834:0.306502:0.228834:0.306502:0.212337:0.298006:0.212337:0.000000
n:@0.247897:0.249149:0.257260:0.249149:0.257260:0.232681:0.247897:0.232681:0.000000
2:@0.257428:0.240994:0.262346:0.240994:0.262346:0.231445:0.257428:0.231445:0.000000
+:@0.265804:0.249579:0.276381:0.249579:0.276381:0.230739:0.265804:0.230739:0.000000
20:@0.278115:0.249029:0.295030:0.249029:0.295030:0.232532:0.278115:0.232532:0.000000:0.000000
=:@0.310617:0.238224:0.321194:0.238224:0.321194:0.219384:0.310617:0.219384:0.000000
3:@0.326800:0.209104:0.335296:0.209104:0.335296:0.192606:0.326800:0.192606:0.000000
n:@0.335122:0.209219:0.344485:0.209219:0.344485:0.192751:0.335122:0.192751:0.000000
2:@0.344646:0.201074:0.349564:0.201074:0.349564:0.191525:0.344646:0.191525:0.000000
+ +:@0.353022:0.209659:0.386583:0.209659:0.386583:0.190819:0.353022:0.190819:0.000000:0.000000:0.000000
n:@0.365333:0.209226:0.374696:0.209226:0.374696:0.192757:0.365333:0.192757:0.000000
5:@0.387893:0.209110:0.396389:0.209110:0.396389:0.192612:0.387893:0.192612:0.000000
n:@0.353543:0.229063:0.362906:0.229063:0.362906:0.212595:0.353543:0.212595:0.000000
2:@0.362550:0.231172:0.367467:0.231172:0.367467:0.221623:0.362550:0.221623:0.000000
n:@0.337788:0.248714:0.347151:0.248714:0.347151:0.232245:0.337788:0.232245:0.000000
2:@0.347317:0.240561:0.352234:0.240561:0.352234:0.231012:0.347317:0.231012:0.000000
+:@0.355693:0.249147:0.366269:0.249147:0.366269:0.230307:0.355693:0.230307:0.000000
20:@0.368003:0.248598:0.384918:0.248598:0.384918:0.232100:0.368003:0.232100:0.000000:0.000000
n:@0.353284:0.268555:0.362647:0.268555:0.362647:0.252086:0.353284:0.252086:0.000000
2:@0.362813:0.260404:0.367730:0.260404:0.367730:0.250855:0.362813:0.250855:0.000000
=:@0.402023:0.238224:0.412600:0.238224:0.412600:0.219384:0.402023:0.219384:0.000000
3:@0.416684:0.221249:0.425180:0.221249:0.425180:0.204751:0.416684:0.204751:0.000000
+ +:@0.426529:0.221799:0.463118:0.221801:0.463118:0.202961:0.426529:0.202959:0.000000:0.000000:0.000000
1:@0.441189:0.212603:0.449685:0.212603:0.449685:0.196105:0.441189:0.196105:0.000000
n n:@0.440361:0.232556:0.475737:0.232559:0.475737:0.216090:0.440361:0.216087:0.000000:0.000000:0.000000
5:@0.470189:0.212605:0.478685:0.212605:0.478685:0.196108:0.470189:0.196108:0.000000
2:@0.475891:0.224414:0.480809:0.224414:0.480809:0.214865:0.475891:0.214865:0.000000
1:@0.429717:0.255473:0.438213:0.255473:0.438213:0.238975:0.429717:0.238975:0.000000
+:@0.437981:0.256022:0.448558:0.256022:0.448558:0.237182:0.437981:0.237182:0.000000
20:@0.451795:0.246826:0.468709:0.246826:0.468709:0.230329:0.451795:0.230329:0.000000:0.000000
n:@0.452180:0.266780:0.461543:0.266780:0.461543:0.250311:0.452180:0.250311:0.000000
2:@0.461704:0.258635:0.466621:0.258635:0.466621:0.249086:0.461704:0.249086:0.000000
.:@0.487199:0.237675:0.489954:0.237675:0.489954:0.221177:0.487199:0.221177:0.000000
 :@0.108231:0.297357:0.112373:0.297357:0.112373:0.280860:0.108231:0.280860:0.000000
Utilizando un argumento similar al del ejemplo precedente (1), se tiene::@0.131966:0.297357:0.595773:0.297357:0.595773:0.280860:0.131966:0.280860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.246353:0.321168:0.254849:0.321168:0.254849:0.304670:0.246353:0.304670:0.000000
n:@0.245526:0.341484:0.254889:0.341484:0.254889:0.325015:0.245526:0.325015:0.000000
n:@0.257557:0.336892:0.262976:0.336892:0.262976:0.327360:0.257557:0.327360:0.000000
0,:@0.282476:0.330009:0.295134:0.330009:0.295134:0.313512:0.282476:0.313512:0.000000:0.000000
5:@0.319023:0.321175:0.327519:0.321175:0.327519:0.304677:0.319023:0.304677:0.000000
n:@0.315202:0.341484:0.324565:0.341484:0.324565:0.325015:0.315202:0.325015:0.000000
2:@0.324723:0.333328:0.329640:0.333328:0.329640:0.323780:0.324723:0.323780:0.000000
n:@0.334461:0.336892:0.339880:0.336892:0.339880:0.327360:0.334461:0.327360:0.000000
0,:@0.359380:0.330009:0.372037:0.330009:0.372037:0.313512:0.359380:0.313512:0.000000:0.000000
20:@0.394616:0.321175:0.411531:0.321175:0.411531:0.304677:0.394616:0.304677:0.000000:0.000000
n:@0.394979:0.341484:0.404342:0.341484:0.404342:0.325015:0.394979:0.325015:0.000000
2:@0.404506:0.333328:0.409423:0.333328:0.409423:0.323780:0.404506:0.323780:0.000000
n:@0.414663:0.336892:0.420082:0.336892:0.420082:0.327360:0.414663:0.327360:0.000000
0,:@0.439582:0.330009:0.452239:0.330009:0.452239:0.313512:0.439582:0.313512:0.000000:0.000000
 :@0.108231:0.379799:0.112373:0.379799:0.112373:0.363301:0.108231:0.363301:0.000000
por lo tanto, :@0.131966:0.379799:0.224805:0.379799:0.224805:0.363301:0.131966:0.363301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.227797:0.379914:0.236774:0.379914:0.236774:0.363445:0.227797:0.363445:0.000000
n:@0.236382:0.382084:0.241801:0.382084:0.241801:0.372552:0.236382:0.372552:0.000000
n:@0.244864:0.386681:0.250283:0.386681:0.250283:0.377149:0.244864:0.377149:0.000000
3,:@0.269364:0.379799:0.281598:0.379799:0.281598:0.363301:0.269364:0.363301:0.000000:0.000000
 o también :@0.286797:0.379799:0.368769:0.379799:0.368769:0.363301:0.286797:0.363301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím:@0.370765:0.380440:0.392862:0.380440:0.392862:0.363942:0.370765:0.363942:0.000000:0.000000:0.000000
n:@0.370189:0.387322:0.375608:0.387322:0.375608:0.377790:0.370189:0.377790:0.000000
a:@0.400134:0.380555:0.409111:0.380555:0.409111:0.364087:0.400134:0.364087:0.000000
n:@0.408719:0.382726:0.414138:0.382726:0.414138:0.373194:0.408719:0.373194:0.000000
=:@0.418615:0.380989:0.429191:0.380989:0.429191:0.362149:0.418615:0.362149:0.000000
3,:@0.431754:0.380440:0.443987:0.380440:0.443987:0.363942:0.431754:0.363942:0.000000:0.000000
.:@0.440167:0.379799:0.442922:0.379799:0.442922:0.363301:0.440167:0.363301:0.000000
 :@0.108226:0.404277:0.112368:0.404277:0.112368:0.387779:0.108226:0.387779:0.000000
Nota que:  :@0.131961:0.404277:0.210658:0.404277:0.210658:0.387779:0.131961:0.387779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.130417:0.440990:0.138824:0.440990:0.138824:0.424257:0.130417:0.424257:0.000000
d a:@0.155230:0.441107:0.179460:0.441107:0.179460:0.424404:0.155230:0.424404:0.000000:0.000000:0.000000
( ,3):@0.164667:0.440990:0.204630:0.440990:0.204630:0.424257:0.164667:0.424257:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.179061:0.443309:0.184423:0.443309:0.184423:0.433641:0.179061:0.433641:0.000000
=:@0.207337:0.441547:0.217803:0.441547:0.217803:0.422439:0.207337:0.422439:0.000000
a:@0.223560:0.441107:0.232444:0.441107:0.232444:0.424404:0.223560:0.424404:0.000000
n:@0.232055:0.443309:0.237418:0.443309:0.237418:0.433641:0.232055:0.433641:0.000000
3:@0.253192:0.440990:0.261599:0.440990:0.261599:0.424257:0.253192:0.424257:0.000000
=:@0.266970:0.441547:0.277436:0.441547:0.277436:0.422439:0.266970:0.422439:0.000000
3:@0.284280:0.432029:0.292687:0.432029:0.292687:0.415297:0.284280:0.415297:0.000000
n:@0.292516:0.432147:0.301781:0.432147:0.301781:0.415443:0.292516:0.415443:0.000000
2:@0.301938:0.423873:0.306804:0.423873:0.306804:0.414188:0.301938:0.414188:0.000000
+ +:@0.310227:0.432581:0.343436:0.432581:0.343436:0.413473:0.310227:0.413473:0.000000:0.000000:0.000000
n:@0.322408:0.432141:0.331674:0.432141:0.331674:0.415438:0.322408:0.415438:0.000000
5:@0.344732:0.432024:0.353139:0.432024:0.353139:0.415291:0.344732:0.415291:0.000000
n:@0.295147:0.452629:0.304412:0.452629:0.304412:0.435925:0.295147:0.435925:0.000000
2:@0.304580:0.444356:0.309446:0.444356:0.309446:0.434671:0.304580:0.434671:0.000000
+:@0.312869:0.453064:0.323335:0.453064:0.323335:0.433955:0.312869:0.433955:0.000000
20:@0.325050:0.452507:0.341788:0.452507:0.341788:0.435774:0.325050:0.435774:0.000000:0.000000
3:@0.368557:0.440990:0.376964:0.440990:0.376964:0.424257:0.368557:0.424257:0.000000
=:@0.382337:0.441547:0.392804:0.441547:0.392804:0.422439:0.382337:0.422439:0.000000
n:@0.403422:0.432147:0.412687:0.432147:0.412687:0.415443:0.403422:0.415443:0.000000
55:@0.426163:0.432024:0.442901:0.432024:0.442901:0.415291:0.426163:0.415291:0.000000:0.000000
n:@0.399627:0.452629:0.408892:0.452629:0.408892:0.435925:0.399627:0.435925:0.000000
2:@0.409068:0.444356:0.413934:0.444356:0.413934:0.434671:0.409068:0.434671:0.000000
+:@0.417357:0.453064:0.427823:0.453064:0.427823:0.433955:0.417357:0.433955:0.000000
20:@0.429538:0.452507:0.446276:0.452507:0.446276:0.435774:0.429538:0.435774:0.000000:0.000000
=:@0.453567:0.441547:0.464033:0.441547:0.464033:0.422439:0.453567:0.422439:0.000000
n:@0.471849:0.430666:0.481114:0.430666:0.481114:0.413962:0.471849:0.413962:0.000000
55:@0.494595:0.430549:0.511333:0.430549:0.511333:0.413816:0.494595:0.413816:0.000000:0.000000
n:@0.468073:0.452624:0.477338:0.452624:0.477338:0.435920:0.468073:0.435920:0.000000
2:@0.477501:0.444356:0.482367:0.444356:0.482367:0.434671:0.477501:0.434671:0.000000
+:@0.485789:0.453064:0.496255:0.453064:0.496255:0.433955:0.485789:0.433955:0.000000
20:@0.497970:0.452507:0.514708:0.452507:0.514708:0.435774:0.497970:0.435774:0.000000:0.000000
<:@0.519203:0.441547:0.529669:0.441547:0.529669:0.422439:0.519203:0.422439:0.000000
n:@0.533710:0.432147:0.542975:0.432147:0.542975:0.415443:0.533710:0.415443:0.000000
+:@0.544272:0.432587:0.554738:0.432587:0.554738:0.413478:0.544272:0.413478:0.000000
55:@0.556034:0.432029:0.572772:0.432029:0.572772:0.415297:0.556034:0.415297:0.000000:0.000000
n:@0.545034:0.452634:0.554299:0.452634:0.554299:0.435930:0.545034:0.435930:0.000000
2:@0.554480:0.444356:0.559346:0.444356:0.559346:0.434671:0.554480:0.434671:0.000000
.:@0.575513:0.440990:0.578239:0.440990:0.578239:0.424257:0.575513:0.424257:0.000000
Para:@0.131966:0.483163:0.162309:0.483163:0.162309:0.466665:0.131966:0.466665:0.000000:0.000000:0.000000:0.000000
n > :@0.166451:0.483278:0.194983:0.483278:0.194983:0.466809:0.166451:0.466809:0.000000:0.000000:0.000000:0.000000
55 se tiene: :@0.194983:0.483163:0.277282:0.483163:0.277282:0.466665:0.194983:0.466665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.131676:0.519450:0.139595:0.519450:0.139595:0.502952:0.131676:0.502952:0.000000
d a:@0.155049:0.519565:0.177872:0.519565:0.177872:0.503096:0.155049:0.503096:0.000000:0.000000:0.000000
( ,3):@0.163938:0.519450:0.201582:0.519450:0.201582:0.502952:0.163938:0.502952:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.177496:0.521735:0.182547:0.521735:0.182547:0.512203:0.177496:0.512203:0.000000
=:@0.204131:0.519999:0.213990:0.519999:0.213990:0.501159:0.204131:0.501159:0.000000
a:@0.219413:0.519565:0.227780:0.519565:0.227780:0.503096:0.219413:0.503096:0.000000
n:@0.227413:0.521735:0.232464:0.521735:0.232464:0.512203:0.227413:0.512203:0.000000
3:@0.247322:0.519450:0.255240:0.519450:0.255240:0.502952:0.247322:0.502952:0.000000
=:@0.260301:0.519999:0.270159:0.519999:0.270159:0.501159:0.260301:0.501159:0.000000
3:@0.276606:0.510615:0.284525:0.510615:0.284525:0.494117:0.276606:0.494117:0.000000
n:@0.284363:0.510731:0.293090:0.510731:0.293090:0.494262:0.284363:0.494262:0.000000
2:@0.293236:0.502573:0.297820:0.502573:0.297820:0.493024:0.293236:0.493024:0.000000
+ +:@0.301045:0.511158:0.332325:0.511158:0.332325:0.492318:0.301045:0.492318:0.000000:0.000000:0.000000
n:@0.312519:0.510724:0.321246:0.510724:0.321246:0.494255:0.312519:0.494255:0.000000
5:@0.333546:0.510608:0.341465:0.510608:0.341465:0.494110:0.333546:0.494110:0.000000
n:@0.286841:0.530923:0.295568:0.530923:0.295568:0.514454:0.286841:0.514454:0.000000
2:@0.295726:0.522769:0.300309:0.522769:0.300309:0.513220:0.295726:0.513220:0.000000
+:@0.303532:0.531354:0.313391:0.531354:0.313391:0.512514:0.303532:0.512514:0.000000
20:@0.315007:0.530804:0.330773:0.530804:0.330773:0.514307:0.315007:0.514307:0.000000:0.000000
3:@0.355988:0.519450:0.363906:0.519450:0.363906:0.502952:0.355988:0.502952:0.000000
=:@0.368967:0.519999:0.378825:0.519999:0.378825:0.501159:0.368967:0.501159:0.000000
n:@0.388827:0.510731:0.397554:0.510731:0.397554:0.494262:0.388827:0.494262:0.000000
55:@0.410247:0.510608:0.426013:0.510608:0.426013:0.494110:0.410247:0.494110:0.000000:0.000000
n:@0.385251:0.530923:0.393978:0.530923:0.393978:0.514454:0.385251:0.514454:0.000000
2:@0.394145:0.522769:0.398728:0.522769:0.398728:0.513220:0.394145:0.513220:0.000000
+:@0.401951:0.531354:0.411809:0.531354:0.411809:0.512514:0.401951:0.512514:0.000000
20:@0.413425:0.530804:0.429191:0.530804:0.429191:0.514307:0.413425:0.514307:0.000000:0.000000
=:@0.436059:0.519999:0.445917:0.519999:0.445917:0.501159:0.436059:0.501159:0.000000
n:@0.453279:0.509270:0.462006:0.509270:0.462006:0.492802:0.453279:0.492802:0.000000
55:@0.474705:0.509155:0.490471:0.509155:0.490471:0.492657:0.474705:0.492657:0.000000:0.000000
n:@0.449722:0.530920:0.458449:0.530920:0.458449:0.514451:0.449722:0.514451:0.000000
2:@0.458603:0.522769:0.463186:0.522769:0.463186:0.513220:0.458603:0.513220:0.000000
+:@0.466409:0.531354:0.476267:0.531354:0.476267:0.512514:0.466409:0.512514:0.000000
20:@0.477884:0.530804:0.493649:0.530804:0.493649:0.514307:0.477884:0.514307:0.000000:0.000000
<:@0.497882:0.519999:0.507740:0.519999:0.507740:0.501159:0.497882:0.501159:0.000000
2:@0.511547:0.510615:0.519466:0.510615:0.519466:0.494117:0.511547:0.494117:0.000000
n:@0.519699:0.510731:0.528426:0.510731:0.528426:0.494262:0.519699:0.494262:0.000000
n:@0.512229:0.530930:0.520956:0.530930:0.520956:0.514461:0.512229:0.514461:0.000000
2:@0.521109:0.522769:0.525693:0.522769:0.525693:0.513220:0.521109:0.513220:0.000000
=:@0.532235:0.519999:0.542093:0.519999:0.542093:0.501159:0.532235:0.501159:0.000000
2:@0.546097:0.510615:0.554016:0.510615:0.554016:0.494117:0.546097:0.494117:0.000000
n:@0.545899:0.530930:0.554626:0.530930:0.554626:0.514461:0.545899:0.514461:0.000000
n:@0.557120:0.526332:0.562171:0.526332:0.562171:0.516800:0.557120:0.516800:0.000000
0,:@0.580346:0.519450:0.592143:0.519450:0.592143:0.502952:0.580346:0.502952:0.000000:0.000000
 :@0.108231:0.570219:0.112373:0.570219:0.112373:0.553722:0.108231:0.553722:0.000000
así,   0:@0.131966:0.570219:0.172545:0.570222:0.172545:0.553724:0.131966:0.553722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d a:@0.189132:0.570338:0.213618:0.570338:0.213618:0.553869:0.189132:0.553869:0.000000:0.000000:0.000000
≤:@0.176687:0.570338:0.187572:0.570338:0.187572:0.553869:0.176687:0.553869:0.000000
( ,3)<:@0.198668:0.570222:0.252591:0.570222:0.252591:0.553724:0.198668:0.553724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.213207:0.572508:0.218626:0.572508:0.218626:0.562976:0.213207:0.562976:0.000000
2:@0.256656:0.562486:0.265152:0.562486:0.265152:0.545989:0.256656:0.545989:0.000000
n:@0.256656:0.577755:0.266019:0.577755:0.266019:0.561286:0.256656:0.561286:0.000000
n:@0.271003:0.577104:0.276422:0.577104:0.276422:0.567572:0.271003:0.567572:0.000000
0,             :@0.295922:0.570222:0.361655:0.570219:0.361655:0.553722:0.295922:0.553724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d(a , ):@0.364639:0.569913:0.418081:0.569913:0.418081:0.553444:0.364639:0.553444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.390343:0.572083:0.395763:0.572083:0.395763:0.562551:0.390343:0.562551:0.000000
3:@0.402746:0.569797:0.411242:0.569797:0.411242:0.553299:0.402746:0.553299:0.000000
=:@0.420968:0.570346:0.431545:0.570346:0.431545:0.551506:0.420968:0.551506:0.000000
a:@0.437354:0.569913:0.446332:0.569913:0.446332:0.553444:0.437354:0.553444:0.000000
n:@0.445940:0.572083:0.451359:0.572083:0.451359:0.562551:0.445940:0.562551:0.000000
3:@0.467299:0.569797:0.475795:0.569797:0.475795:0.553299:0.467299:0.553299:0.000000
n:@0.479811:0.576679:0.485231:0.576679:0.485231:0.567147:0.479811:0.567147:0.000000
0:@0.504730:0.569797:0.513226:0.569797:0.513226:0.553299:0.504730:0.553299:0.000000
.:@0.514246:0.570219:0.517001:0.570219:0.517001:0.553722:0.514246:0.553722:0.000000
       :@0.108231:0.587570:0.136108:0.587570:0.136108:0.571072:0.108231:0.571072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se denota con   al conjunto de sucesiones reales definidas en     .:@0.108231:0.604921:0.592629:0.604921:0.592629:0.588423:0.108231:0.588423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.215017:0.605036:0.222896:0.605036:0.222896:0.588568:0.215017:0.588568:0.000000
 I:@0.543522:0.605297:0.552866:0.605297:0.552866:0.587975:0.543522:0.587975:0.000000:0.000000
⊆:@0.557008:0.604415:0.570744:0.604415:0.570744:0.586703:0.557008:0.586703:0.000000
N:@0.574886:0.603952:0.589874:0.603952:0.589874:0.590505:0.574886:0.590505:0.000000
Definición:@0.108231:0.640085:0.188315:0.640085:0.188315:0.623139:0.108231:0.623139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.188317:0.639839:0.191669:0.639839:0.191669:0.623125:0.188317:0.623125:0.000000
 Sea :@0.191669:0.639622:0.224073:0.639622:0.224073:0.623125:0.191669:0.623125:0.000000:0.000000:0.000000:0.000000:0.000000
(a ) S,:@0.227049:0.639503:0.286134:0.639503:0.286134:0.623034:0.227049:0.623034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.242808:0.641673:0.248228:0.641673:0.248228:0.632141:0.242808:0.632141:0.000000
. Se dice que :@0.282183:0.639622:0.374213:0.639622:0.374213:0.623125:0.282183:0.623125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a ) S,:@0.375141:0.639679:0.434225:0.639679:0.434225:0.623210:0.375141:0.623210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.390898:0.641849:0.396317:0.641849:0.396317:0.632317:0.390898:0.632317:0.000000
 es convergente, si y solo si, :@0.405655:0.639622:0.599924:0.639622:0.599924:0.623125:0.405655:0.623125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
existe :@0.108238:0.656973:0.152142:0.656973:0.152142:0.640475:0.108238:0.640475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.152142:0.657089:0.159983:0.657089:0.159983:0.640620:0.152142:0.640620:0.000000
∈:@0.159983:0.656944:0.172833:0.656944:0.172833:0.639550:0.159983:0.639550:0.000000
R:@0.172833:0.656004:0.186742:0.656004:0.186742:0.642558:0.172833:0.642558:0.000000
 que satisface la condición siguiente: :@0.186742:0.656973:0.446130:0.656973:0.446130:0.640475:0.186742:0.640475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>0,:@0.173103:0.681171:0.199323:0.681171:0.199323:0.664673:0.173103:0.664673:0.000000:0.000000:0.000000
n:@0.215737:0.681287:0.225099:0.681287:0.225099:0.664818:0.215737:0.664818:0.000000
0:@0.224930:0.683390:0.229848:0.683390:0.229848:0.673841:0.224930:0.673841:0.000000
N:@0.251734:0.681287:0.263640:0.681287:0.263640:0.664818:0.251734:0.664818:0.000000
∀:@0.151657:0.681516:0.162368:0.681516:0.162368:0.664121:0.151657:0.664121:0.000000
 :@0.234298:0.681939:0.238440:0.681939:0.238440:0.665442:0.234298:0.665442:0.000000
∈:@0.238440:0.681910:0.251290:0.681910:0.251290:0.664516:0.238440:0.664516:0.000000
N:@0.251290:0.680971:0.266279:0.680971:0.266279:0.667524:0.251290:0.667524:0.000000
, tal que :@0.266279:0.681939:0.326461:0.681939:0.326461:0.665442:0.266279:0.665442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.326461:0.681910:0.359385:0.681910:0.359385:0.664516:0.326461:0.664516:0.000000:0.000000:0.000000
n:@0.337173:0.682055:0.346536:0.682055:0.346536:0.665586:0.337173:0.665586:0.000000
N:@0.359385:0.680971:0.374374:0.680971:0.374374:0.667524:0.359385:0.667524:0.000000
, con :@0.374374:0.681939:0.412365:0.681939:0.412365:0.665442:0.374374:0.665442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.335732:0.682197:0.345095:0.682197:0.345095:0.665728:0.335732:0.665728:0.000000
≥n:@0.425701:0.682355:0.448489:0.682197:0.448489:0.665728:0.425701:0.665887:0.000000:0.000000
– <:@0.500990:0.682355:0.536438:0.682355:0.536438:0.665887:0.500990:0.665887:0.000000:0.000000:0.000000
N:@0.364840:0.682197:0.376745:0.682197:0.376745:0.665728:0.364840:0.665728:0.000000
, con:@0.378345:0.682081:0.410999:0.682081:0.410999:0.665584:0.378345:0.665584:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.414043:0.682197:0.423406:0.682197:0.423406:0.665728:0.414043:0.665728:0.000000
0:@0.448339:0.684300:0.453256:0.684300:0.453256:0.674751:0.448339:0.674751:0.000000
a:@0.483153:0.682197:0.492131:0.682197:0.492131:0.665728:0.483153:0.665728:0.000000
n:@0.491739:0.684367:0.497158:0.684367:0.497158:0.674835:0.491739:0.674835:0.000000
L:@0.513098:0.682197:0.520939:0.682197:0.520939:0.665728:0.513098:0.665728:0.000000
.:@0.548121:0.682081:0.550876:0.682081:0.550876:0.665584:0.548121:0.665584:0.000000
∀:@0.324644:0.682211:0.335355:0.682211:0.335355:0.664817:0.324644:0.664817:0.000000
Si :@0.108231:0.706419:0.124183:0.706419:0.124183:0.689921:0.108231:0.689921:0.000000:0.000000:0.000000
(a ) S,:@0.126131:0.706474:0.185216:0.706474:0.185216:0.690006:0.126131:0.690006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.141889:0.708645:0.147308:0.708645:0.147308:0.699112:0.141889:0.699112:0.000000
 es una sucesión que converge a  , escribimos :@0.156646:0.706419:0.490308:0.706419:0.490308:0.689921:0.156646:0.689921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.394206:0.706535:0.402047:0.706535:0.402047:0.690066:0.394206:0.690066:0.000000
lím:@0.494826:0.706419:0.516924:0.706419:0.516924:0.689921:0.494826:0.689921:0.000000:0.000000:0.000000
n:@0.494252:0.713302:0.499671:0.713302:0.499671:0.703769:0.494252:0.703769:0.000000
a:@0.521684:0.706535:0.530661:0.706535:0.530661:0.690066:0.521684:0.690066:0.000000
n:@0.530269:0.708705:0.535689:0.708705:0.535689:0.699173:0.530269:0.699173:0.000000
=:@0.540163:0.706968:0.550740:0.706968:0.550740:0.688128:0.540163:0.688128:0.000000
L:@0.553302:0.706535:0.561143:0.706535:0.561143:0.690066:0.553302:0.690066:0.000000
 que :@0.563603:0.706419:0.599907:0.706419:0.599907:0.689921:0.563603:0.689921:0.000000:0.000000:0.000000:0.000000:0.000000
se lee “el límite de   cuando   tiende a infinito es igual a  ”; diremos :@0.108231:0.730305:0.599918:0.730308:0.599918:0.713810:0.108231:0.713807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.239984:0.730421:0.248961:0.730421:0.248961:0.713952:0.239984:0.713952:0.000000
n:@0.248784:0.733652:0.254243:0.733652:0.254243:0.724051:0.248784:0.724051:0.000000
n:@0.317237:0.730423:0.326600:0.730423:0.326600:0.713955:0.317237:0.713955:0.000000
L:@0.517482:0.730423:0.525323:0.730423:0.525323:0.713955:0.517482:0.713955:0.000000
también :@0.108250:0.752936:0.172401:0.752936:0.172401:0.736438:0.108250:0.736438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a ) S,:@0.173182:0.752994:0.232267:0.752994:0.232267:0.736526:0.173182:0.736526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.188939:0.755165:0.194359:0.755165:0.194359:0.745633:0.188939:0.745633:0.000000
 tiende a   cuando   tiende a infinito, lo que escribimos :@0.203697:0.752939:0.599958:0.752939:0.599958:0.736441:0.203697:0.736441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.268908:0.753055:0.276749:0.753055:0.276749:0.736586:0.268908:0.736586:0.000000
n:@0.338821:0.753055:0.348184:0.753055:0.348184:0.736586:0.338821:0.736586:0.000000
 :@0.595816:0.752939:0.599958:0.752939:0.599958:0.736441:0.595816:0.736441:0.000000
a:@0.111215:0.769777:0.120193:0.769777:0.120193:0.753308:0.111215:0.753308:0.000000
n:@0.119801:0.771947:0.125220:0.771947:0.125220:0.762415:0.119801:0.762415:0.000000
n:@0.128282:0.776544:0.133702:0.776544:0.133702:0.767012:0.128282:0.767012:0.000000
L:@0.152783:0.769777:0.160624:0.769777:0.160624:0.753308:0.152783:0.753308:0.000000
.:@0.161163:0.769661:0.163918:0.769661:0.163918:0.753164:0.161163:0.753164:0.000000
Ejercicio resuelto:@0.108231:0.798704:0.226210:0.798704:0.226210:0.781917:0.108231:0.781917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108231:0.826580:0.120503:0.826580:0.120503:0.809866:0.108231:0.809866:0.000000:0.000000
  La sucesión :@0.120503:0.826363:0.217406:0.826363:0.217406:0.809865:0.120503:0.809865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.224836:0.826255:0.233686:0.826255:0.233686:0.809071:0.224836:0.809071:0.000000
1:@0.249156:0.817046:0.258005:0.817046:0.258005:0.799862:0.249156:0.799862:0.000000
n:@0.248293:0.838206:0.258045:0.838206:0.258045:0.821052:0.248293:0.821052:0.000000
 es :@0.269212:0.826365:0.291868:0.826365:0.291868:0.809868:0.269212:0.809868:0.000000:0.000000:0.000000:0.000000
acotada:@0.291868:0.826582:0.351010:0.826582:0.351010:0.809868:0.291868:0.809868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, pues  :@0.351012:0.826365:0.399907:0.826365:0.399907:0.809868:0.351012:0.809868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.404511:0.827102:0.424062:0.827102:0.424062:0.810605:0.404511:0.810605:0.000000:0.000000
11:@0.427860:0.818262:0.447411:0.818268:0.447411:0.801770:0.427860:0.801764:0.000000:0.000000
nn:@0.427032:0.838577:0.447450:0.838583:0.447450:0.822114:0.427032:0.822108:0.000000:0.000000
1,1,:@0.455659:0.827102:0.477369:0.827102:0.477369:0.810605:0.455659:0.810605:0.000000:0.000000:0.000000:0.000000
nn:@0.483405:0.827218:0.503822:0.827218:0.503822:0.810749:0.483405:0.810749:0.000000:0.000000
ZZ:@0.513298:0.827218:0.533425:0.827218:0.533425:0.810749:0.513298:0.810749:0.000000:0.000000
+ +:@0.523349:0.819385:0.540524:0.819385:0.540524:0.808480:0.523349:0.808480:0.000000:0.000000:0.000000
. .:@0.531568:0.827102:0.545378:0.827102:0.545378:0.810605:0.531568:0.810605:0.000000:0.000000:0.000000
∀:@0.481240:0.826187:0.491952:0.826187:0.491952:0.808793:0.481240:0.808793:0.000000
 :@0.108226:0.861062:0.112368:0.861062:0.112368:0.844564:0.108226:0.844564:0.000000
Nota que la :@0.131961:0.861062:0.218327:0.861062:0.218327:0.844564:0.131961:0.844564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cota:@0.217711:0.861279:0.250269:0.861279:0.250269:0.844564:0.217711:0.844564:0.000000:0.000000:0.000000:0.000000
 superior de esta sucesión es 1. Además, converge :@0.250269:0.861062:0.599874:0.861062:0.599874:0.844564:0.250269:0.844564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a 1, esto es, :@0.131961:0.887840:0.214703:0.887840:0.214703:0.871342:0.131961:0.871342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím 1:@0.218224:0.887847:0.259858:0.887847:0.259858:0.871350:0.218224:0.871350:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.217648:0.894730:0.223067:0.894730:0.223067:0.885198:0.217648:0.885198:0.000000
1:@0.274712:0.879006:0.283208:0.879006:0.283208:0.862508:0.274712:0.862508:0.000000
n:@0.273883:0.899321:0.283246:0.899321:0.283246:0.882852:0.273883:0.882852:0.000000
=:@0.294866:0.888397:0.305443:0.888397:0.305443:0.869557:0.294866:0.869557:0.000000
1:@0.307216:0.887847:0.315711:0.887847:0.315711:0.871350:0.307216:0.871350:0.000000
 o también :@0.316700:0.887844:0.398672:0.887844:0.398672:0.871346:0.316700:0.871346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.400452:0.888076:0.408948:0.888076:0.408948:0.871579:0.400452:0.871579:0.000000
1:@0.423801:0.879235:0.432297:0.879235:0.432297:0.862737:0.423801:0.862737:0.000000
n:@0.422972:0.899550:0.432335:0.899550:0.432335:0.883082:0.422972:0.883082:0.000000
n:@0.437516:0.894959:0.442936:0.894959:0.442936:0.885427:0.437516:0.885427:0.000000
1.:@0.461233:0.888076:0.472407:0.888076:0.472407:0.871579:0.461233:0.871579:0.000000:0.000000
 :@0.476256:0.887844:0.480398:0.887844:0.480398:0.871346:0.476256:0.871346:0.000000
2.:@0.108232:0.922762:0.120504:0.922762:0.120504:0.906048:0.108232:0.906048:0.000000:0.000000
  La sucesión (:@0.120504:0.922545:0.221973:0.922545:0.221973:0.906048:0.120504:0.906048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen n:@0.221973:0.922661:0.260292:0.922661:0.260292:0.906192:0.221973:0.906192:0.000000:0.000000:0.000000:0.000000:0.000000
( )) es :@0.244976:0.922545:0.294160:0.922545:0.294160:0.906048:0.244976:0.906048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divergente:@0.293467:0.922762:0.371318:0.922762:0.371318:0.906048:0.293467:0.906048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Esta es acotada; una cota supe-:@0.371318:0.922545:0.595719:0.922545:0.595719:0.906048:0.371318:0.906048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rior es 1.:@0.131947:0.939896:0.190706:0.939896:0.190706:0.923398:0.131947:0.923398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.684804:0.101057:0.794564:0.101057:0.794564:0.085585:0.684804:0.085585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen dos clases de su-:@0.685042:0.129685:0.841767:0.129685:0.841767:0.114622:0.685042:0.114622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cesiones reales: las convergentes :@0.638498:0.145527:0.849207:0.145527:0.849207:0.130464:0.638498:0.130464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y las divergentes. :@0.638498:0.161369:0.749929:0.161369:0.749929:0.146306:0.638498:0.146306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.638498:0.179416:0.711618:0.179416:0.711618:0.163943:0.638498:0.163943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.711620:0.179191:0.714681:0.179191:0.714681:0.163930:0.711620:0.163930:0.000000
 Sea :@0.714681:0.178993:0.744267:0.178993:0.744267:0.163930:0.714681:0.163930:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.746519:0.179357:0.770378:0.179357:0.770378:0.164890:0.746519:0.164890:0.000000:0.000000:0.000000
a:@0.751757:0.179459:0.759629:0.179459:0.759629:0.165017:0.751757:0.165017:0.000000
n:@0.759281:0.181362:0.764034:0.181362:0.764034:0.173003:0.759281:0.173003:0.000000
S:@0.788526:0.179459:0.795436:0.179459:0.795436:0.165017:0.788526:0.165017:0.000000
.:@0.795503:0.179357:0.797919:0.179357:0.797919:0.164890:0.795503:0.164890:0.000000
Diremos que :@0.638503:0.194836:0.725801:0.194836:0.725801:0.179773:0.638503:0.179773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.728052:0.194191:0.751911:0.194191:0.751911:0.179724:0.728052:0.179724:0.000000:0.000000:0.000000
a:@0.733289:0.194292:0.741161:0.194292:0.741161:0.179850:0.733289:0.179850:0.000000
n:@0.740814:0.196196:0.745566:0.196196:0.745566:0.187837:0.740814:0.187837:0.000000
S:@0.770057:0.194292:0.776966:0.194292:0.776966:0.179850:0.770057:0.179850:0.000000
.:@0.777034:0.194191:0.779450:0.194191:0.779450:0.179724:0.777034:0.179724:0.000000
 es divergente :@0.752123:0.194836:0.844559:0.194836:0.844559:0.179773:0.752123:0.179773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si ella no es convergente. :@0.638509:0.210678:0.801338:0.210678:0.801338:0.195615:0.638509:0.195615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638509:0.228302:0.642291:0.228302:0.642291:0.213239:0.638509:0.213239:0.000000
Definición:@0.638509:0.246349:0.711629:0.246349:0.711629:0.230876:0.638509:0.230876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.711631:0.246124:0.714692:0.246124:0.714692:0.230863:0.711631:0.230863:0.000000
 Sea :@0.714692:0.245926:0.744278:0.245926:0.744278:0.230863:0.714692:0.230863:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.746519:0.245032:0.770378:0.245032:0.770378:0.230565:0.746519:0.230565:0.000000:0.000000:0.000000
a:@0.751757:0.245134:0.759629:0.245134:0.759629:0.230692:0.751757:0.230692:0.000000
n:@0.759281:0.247037:0.764034:0.247037:0.764034:0.238678:0.759281:0.238678:0.000000
S:@0.788526:0.245134:0.795436:0.245134:0.795436:0.230692:0.788526:0.230692:0.000000
.:@0.795503:0.245032:0.797919:0.245032:0.797919:0.230565:0.795503:0.230565:0.000000
Se :@0.802282:0.245925:0.820980:0.245925:0.820980:0.230862:0.802282:0.230862:0.000000:0.000000:0.000000
dice que :@0.638501:0.261767:0.697531:0.261767:0.697531:0.246704:0.638501:0.246704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.699784:0.261123:0.723643:0.261123:0.723643:0.246656:0.699784:0.246656:0.000000:0.000000:0.000000
a:@0.705021:0.261225:0.712893:0.261225:0.712893:0.246783:0.705021:0.246783:0.000000
n:@0.712547:0.263128:0.717300:0.263128:0.717300:0.254769:0.712547:0.254769:0.000000
S:@0.741790:0.261225:0.748700:0.261225:0.748700:0.246783:0.741790:0.246783:0.000000
.:@0.748767:0.261123:0.751183:0.261123:0.751183:0.246656:0.748767:0.246656:0.000000
 es una sucesión :@0.724138:0.261767:0.832632:0.261767:0.832632:0.246704:0.724138:0.246704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Cauchy si esta satisface la :@0.638510:0.277609:0.825787:0.277609:0.825787:0.262546:0.638510:0.262546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condición siguiente: :@0.638510:0.293451:0.771352:0.293451:0.771352:0.278388:0.638510:0.278388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>0,:@0.664595:0.310312:0.687547:0.310312:0.687547:0.295871:0.664595:0.295871:0.000000:0.000000:0.000000
n:@0.699705:0.310413:0.707901:0.310413:0.707901:0.295997:0.699705:0.295997:0.000000
0:@0.707763:0.312254:0.712067:0.312254:0.712067:0.303896:0.707763:0.303896:0.000000
:@0.731591:0.313008:0.743767:0.313008:0.743767:0.294327:0.731591:0.294327:0.000000
∀:@0.644507:0.310426:0.653884:0.310426:0.653884:0.295200:0.644507:0.295200:0.000000
, tal que :@0.745508:0.311076:0.800459:0.311076:0.800459:0.296013:0.745508:0.296013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m,n:@0.652994:0.329289:0.680330:0.329289:0.680330:0.313762:0.652994:0.313762:0.000000:0.000000:0.000000
:@0.695542:0.332084:0.708656:0.332084:0.708656:0.311963:0.695542:0.311963:0.000000
, con::@0.709259:0.328699:0.742680:0.328699:0.742680:0.313636:0.709259:0.313636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n m n:@0.640860:0.347212:0.688897:0.347212:0.688897:0.332083:0.640860:0.332083:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.650329:0.347105:0.652859:0.347105:0.652859:0.331950:0.650329:0.331950:0.000000
0:@0.688759:0.349144:0.693276:0.349144:0.693276:0.340372:0.688759:0.340372:0.000000
a:@0.720739:0.347212:0.728986:0.347212:0.728986:0.332083:0.720739:0.332083:0.000000
n:@0.728626:0.349205:0.733605:0.349205:0.733605:0.340449:0.728626:0.340449:0.000000
a:@0.748632:0.347212:0.756879:0.347212:0.756879:0.332083:0.748632:0.332083:0.000000
m:@0.756712:0.349205:0.764579:0.349205:0.764579:0.340449:0.756712:0.340449:0.000000
<:@0.771139:0.347610:0.780855:0.347610:0.780855:0.330303:0.771139:0.330303:0.000000
.:@0.793798:0.346323:0.796313:0.346323:0.796313:0.331260:0.793798:0.331260:0.000000
Definición:@0.638496:0.381994:0.711616:0.381994:0.711616:0.366521:0.638496:0.366521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.711618:0.381769:0.714678:0.381769:0.714678:0.366508:0.711618:0.366508:0.000000
 Sea :@0.714678:0.381571:0.744265:0.381571:0.744265:0.366508:0.714678:0.366508:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.746519:0.380679:0.770378:0.380679:0.770378:0.366212:0.746519:0.366212:0.000000:0.000000:0.000000
a:@0.751757:0.380780:0.759629:0.380780:0.759629:0.366338:0.751757:0.366338:0.000000
n:@0.759281:0.382682:0.764034:0.382682:0.764034:0.374323:0.759281:0.374323:0.000000
S:@0.788526:0.380780:0.795436:0.380780:0.795436:0.366338:0.788526:0.366338:0.000000
.:@0.795503:0.380679:0.797919:0.380679:0.797919:0.366212:0.795503:0.366212:0.000000
i.:@0.638503:0.399393:0.645451:0.399393:0.645451:0.384132:0.638503:0.384132:0.000000:0.000000
  Se dice que :@0.645452:0.399195:0.739978:0.399195:0.739978:0.384132:0.645452:0.384132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.742226:0.398551:0.766085:0.398551:0.766085:0.384084:0.742226:0.384084:0.000000:0.000000:0.000000
a:@0.747463:0.398653:0.755336:0.398653:0.755336:0.384211:0.747463:0.384211:0.000000
n:@0.754988:0.400556:0.759740:0.400556:0.759740:0.392197:0.754988:0.392197:0.000000
S:@0.784231:0.398653:0.791140:0.398653:0.791140:0.384211:0.784231:0.384211:0.000000
.:@0.791208:0.398551:0.793624:0.398551:0.793624:0.384084:0.791208:0.384084:0.000000
 es una :@0.765927:0.399195:0.815003:0.399195:0.815003:0.384132:0.765927:0.384132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión acotada superior-:@0.662252:0.415037:0.835126:0.415037:0.835126:0.399974:0.662252:0.399974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente, si y solo si, existe :@0.662252:0.430879:0.821244:0.430879:0.821244:0.415816:0.662252:0.415816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.663072:0.446777:0.669540:0.446777:0.669540:0.431955:0.663072:0.431955:0.000000
:@0.684557:0.449445:0.697076:0.449445:0.697076:0.430237:0.684557:0.430237:0.000000
, tal que :@0.697546:0.446721:0.752497:0.446721:0.752497:0.431658:0.697546:0.431658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.755098:0.446099:0.762926:0.446099:0.762926:0.431740:0.755098:0.431740:0.000000
n:@0.762583:0.447992:0.767308:0.447992:0.767308:0.439681:0.762583:0.439681:0.000000
c:@0.783031:0.446099:0.789297:0.446099:0.789297:0.431740:0.783031:0.431740:0.000000
,:@0.790607:0.445998:0.793009:0.445998:0.793009:0.431614:0.790607:0.431614:0.000000
n:@0.807907:0.446099:0.816070:0.446099:0.816070:0.431740:0.807907:0.431740:0.000000
1.:@0.832602:0.445998:0.842344:0.445998:0.842344:0.431614:0.832602:0.431614:0.000000:0.000000
∀ ∈:@0.794286:0.446695:0.824347:0.446695:0.824347:0.430813:0.794286:0.430813:0.000000:0.000000:0.000000
n I.:@0.804066:0.446827:0.830415:0.446827:0.830415:0.431790:0.804066:0.431790:0.000000:0.000000:0.000000:0.000000
  :@0.830415:0.446721:0.837979:0.446721:0.837979:0.431658:0.830415:0.431658:0.000000:0.000000
El número real   se llama :@0.662255:0.462563:0.825436:0.462563:0.825436:0.447500:0.662255:0.447500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.759528:0.462669:0.766089:0.462669:0.766089:0.447632:0.759528:0.447632:0.000000
cota superior de la sucesión :@0.662255:0.478405:0.845822:0.478405:0.845822:0.463342:0.662255:0.463342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.664496:0.493603:0.688355:0.493603:0.688355:0.479136:0.664496:0.479136:0.000000:0.000000:0.000000
a:@0.669734:0.493705:0.677606:0.493705:0.677606:0.479263:0.669734:0.479263:0.000000
n:@0.677258:0.495608:0.682011:0.495608:0.682011:0.487249:0.677258:0.487249:0.000000
S:@0.706503:0.493705:0.713413:0.493705:0.713413:0.479263:0.706503:0.479263:0.000000
.:@0.713480:0.493603:0.715896:0.493603:0.715896:0.479136:0.713480:0.479136:0.000000
.:@0.689948:0.494247:0.692464:0.494247:0.692464:0.479184:0.689948:0.479184:0.000000
ii. :@0.638498:0.512069:0.653061:0.512070:0.653061:0.496809:0.638498:0.496808:0.000000:0.000000:0.000000:0.000000
Se dice que :@0.662243:0.511872:0.739868:0.511872:0.739868:0.496809:0.662243:0.496809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.739829:0.511343:0.763688:0.511343:0.763688:0.496875:0.739829:0.496875:0.000000:0.000000:0.000000
a:@0.745066:0.511444:0.752938:0.511444:0.752938:0.497002:0.745066:0.497002:0.000000
n:@0.752591:0.513347:0.757343:0.513347:0.757343:0.504988:0.752591:0.504988:0.000000
S:@0.781835:0.511444:0.788745:0.511444:0.788745:0.497002:0.781835:0.497002:0.000000
.:@0.788812:0.511343:0.791228:0.511343:0.791228:0.496875:0.788812:0.496875:0.000000
 es una suce-:@0.763857:0.511872:0.846670:0.511872:0.846670:0.496809:0.763857:0.496809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión acotada inferiormente, :@0.662239:0.527714:0.843573:0.527714:0.843573:0.512651:0.662239:0.512651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si y solo si, existe:@0.662239:0.543556:0.768692:0.543556:0.768692:0.528493:0.662239:0.528493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.771683:0.543992:0.778869:0.543992:0.778869:0.527523:0.771683:0.527523:0.000000
:@0.795555:0.546956:0.809465:0.546956:0.809465:0.525615:0.795555:0.525615:0.000000
, tal :@0.809222:0.543556:0.835730:0.543556:0.835730:0.528493:0.809222:0.528493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que :@0.662240:0.559398:0.690681:0.559398:0.690681:0.544335:0.662240:0.544335:0.000000:0.000000:0.000000:0.000000
c a:@0.691154:0.559144:0.720224:0.559144:0.720224:0.544569:0.691154:0.544569:0.000000:0.000000:0.000000
n:@0.719880:0.561065:0.724676:0.561065:0.724676:0.552629:0.719880:0.552629:0.000000
,:@0.727199:0.559042:0.729637:0.559042:0.729637:0.544441:0.727199:0.544441:0.000000
n:@0.744760:0.559144:0.753046:0.559144:0.753046:0.544569:0.744760:0.544569:0.000000
I:@0.770519:0.559144:0.774065:0.559144:0.774065:0.544569:0.770519:0.544569:0.000000
∀:@0.734953:0.559144:0.744433:0.559144:0.744433:0.543750:0.734953:0.543750:0.000000
.:@0.774045:0.559398:0.776561:0.559398:0.776561:0.544335:0.774045:0.544335:0.000000
 :@0.638497:0.577021:0.642279:0.577021:0.642279:0.561958:0.638497:0.561958:0.000000
El número real   se llama :@0.662243:0.577021:0.825424:0.577021:0.825424:0.561958:0.662243:0.561958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.759516:0.577127:0.766077:0.577127:0.766077:0.562090:0.759516:0.562090:0.000000
cota inferior de la sucesión :@0.662243:0.592863:0.838757:0.592863:0.838757:0.577800:0.662243:0.577800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.662272:0.608176:0.686131:0.608176:0.686131:0.593709:0.662272:0.593709:0.000000:0.000000:0.000000
a:@0.667509:0.608277:0.675381:0.608277:0.675381:0.593836:0.667509:0.593836:0.000000
n:@0.675034:0.610181:0.679786:0.610181:0.679786:0.601822:0.675034:0.601822:0.000000
S:@0.704277:0.608277:0.711186:0.608277:0.711186:0.593836:0.704277:0.593836:0.000000
.:@0.711254:0.608176:0.713670:0.608176:0.713670:0.593709:0.711254:0.593709:0.000000
. :@0.687099:0.608705:0.693396:0.608705:0.693396:0.593642:0.687099:0.593642:0.000000:0.000000
iii. :@0.638498:0.626528:0.656949:0.626528:0.656949:0.611267:0.638498:0.611266:0.000000:0.000000:0.000000:0.000000:0.000000
Se dice que :@0.662245:0.626330:0.739973:0.626330:0.739973:0.611267:0.662245:0.611267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.740001:0.625801:0.763858:0.625801:0.763858:0.611334:0.740001:0.611334:0.000000:0.000000:0.000000
a:@0.745238:0.625902:0.753111:0.625902:0.753111:0.611461:0.745238:0.611461:0.000000
n:@0.752763:0.627806:0.757515:0.627806:0.757515:0.619447:0.752763:0.619447:0.000000
S:@0.782006:0.625902:0.788916:0.625902:0.788916:0.611461:0.782006:0.611461:0.000000
.:@0.788983:0.625801:0.791399:0.625801:0.791399:0.611334:0.788983:0.611334:0.000000
 es una :@0.763669:0.626329:0.812745:0.626329:0.812745:0.611266:0.763669:0.611266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión acotada, si esta :@0.662245:0.642171:0.823049:0.642171:0.823049:0.627108:0.662245:0.627108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es superior e inferiormente :@0.662245:0.658013:0.839814:0.658013:0.839814:0.642950:0.662245:0.642950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acotada. Es decir, existe :@0.662245:0.673855:0.816085:0.673855:0.816085:0.658792:0.662245:0.658792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c>0:@0.816085:0.673960:0.839955:0.673960:0.839955:0.658924:0.816085:0.658924:0.000000:0.000000:0.000000
, :@0.839955:0.673855:0.846252:0.673855:0.846252:0.658792:0.839955:0.658792:0.000000:0.000000
tal que  :@0.662245:0.689697:0.714681:0.689697:0.714681:0.674634:0.662245:0.674634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.719912:0.688498:0.726969:0.688498:0.726969:0.673650:0.719912:0.673650:0.000000
n:@0.727403:0.690495:0.732421:0.690495:0.732421:0.681901:0.727403:0.681901:0.000000
c, n I.:@0.750679:0.688498:0.808571:0.688498:0.808571:0.673650:0.750679:0.673650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.767859:0.688472:0.777499:0.688472:0.777499:0.672818:0.767859:0.672818:0.000000
 El :@0.808666:0.689697:0.827258:0.689697:0.827258:0.674634:0.808666:0.674634:0.000000:0.000000:0.000000:0.000000
número real positivo   se :@0.662247:0.705539:0.827767:0.705539:0.827767:0.690476:0.662247:0.690476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.800344:0.705644:0.806905:0.705644:0.806905:0.690608:0.800344:0.690608:0.000000
llama cota superior de la :@0.662247:0.721381:0.824882:0.721381:0.824882:0.706318:0.662247:0.706318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión :@0.662247:0.737223:0.721666:0.737223:0.721666:0.722160:0.662247:0.722160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.721689:0.736695:0.745548:0.736695:0.745548:0.722228:0.721689:0.722228:0.000000:0.000000:0.000000
a:@0.726926:0.736796:0.734799:0.736796:0.734799:0.722354:0.726926:0.722354:0.000000
n:@0.734453:0.738698:0.739205:0.738698:0.739205:0.730339:0.734453:0.730339:0.000000
S:@0.763696:0.736796:0.770605:0.736796:0.770605:0.722354:0.763696:0.722354:0.000000
.:@0.770673:0.736695:0.773089:0.736695:0.773089:0.722228:0.770673:0.722228:0.000000
.:@0.745359:0.737223:0.747874:0.737223:0.747874:0.722160:0.745359:0.722160:0.000000
Glosario:@0.684804:0.790031:0.752269:0.790031:0.752269:0.772349:0.684804:0.772349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acotada: :@0.685042:0.816845:0.746007:0.816845:0.746007:0.801583:0.685042:0.801583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acción de :@0.746007:0.816647:0.812356:0.816647:0.812356:0.801583:0.746007:0.801583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
delimitar alguna cosa.:@0.638498:0.832489:0.778724:0.832489:0.778724:0.817425:0.638498:0.817425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cota: :@0.638498:0.848529:0.675191:0.848529:0.675191:0.833267:0.638498:0.833267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento superior o infe-:@0.675191:0.848331:0.839093:0.848331:0.839093:0.833267:0.675191:0.833267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rior a todos los de un determi-:@0.638498:0.864173:0.836754:0.864173:0.836754:0.849109:0.638498:0.849109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nado conjunto ordenado.:@0.638498:0.880015:0.805023:0.880015:0.805023:0.864951:0.638498:0.864951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divergente: :@0.638498:0.896055:0.716369:0.896055:0.716369:0.880793:0.638498:0.880793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
serie en que la :@0.716369:0.895857:0.812041:0.895857:0.812041:0.880793:0.716369:0.880793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma de sus términos tiende al :@0.638498:0.911698:0.842857:0.911698:0.842857:0.896635:0.638498:0.896635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito.:@0.638498:0.927540:0.687557:0.927540:0.687557:0.912477:0.638498:0.912477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.632070:0.793763:0.643474:0.792254:0.638272:0.770109:0.626867:0.771618:0.000000
c:@0.635451:0.804732:0.646050:0.803330:0.640968:0.781695:0.630369:0.783098:0.000000
b:@0.645827:0.797515:0.658540:0.795832:0.653408:0.773989:0.640695:0.775672:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000