52:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.677170:0.236739:0.677170:0.236739:0.643223:0.175844:0.643223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De manera intuitiva halla un límite y la derivada. (Ref. I.M.5.3.2.):@0.256865:0.665195:0.546967:0.665195:0.546967:0.654766:0.256865:0.654766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.718407:0.133950:0.718407:0.133950:0.701271:0.115209:0.701271:0.000000:0.000000:0.000000
Sea   = – 2,66. :@0.148452:0.718407:0.260867:0.718407:0.260867:0.702018:0.148452:0.702018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.178434:0.718407:0.185897:0.718407:0.185897:0.702045:0.178434:0.702045:0.000000
0:@0.185894:0.721570:0.191136:0.721570:0.191136:0.712016:0.185894:0.712016:0.000000
Calcula:@0.260867:0.718407:0.316298:0.718407:0.316298:0.701783:0.260867:0.701783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   –   y   +   para todos los valores de   que se detallan a continuación.:@0.316298:0.718407:0.849001:0.718407:0.849001:0.702018:0.316298:0.702018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.320333:0.718407:0.327797:0.718407:0.327797:0.702045:0.320333:0.702045:0.000000
0:@0.327793:0.721570:0.333036:0.721570:0.333036:0.712016:0.327793:0.712016:0.000000
h x:@0.350322:0.718407:0.383473:0.718407:0.383473:0.702045:0.350322:0.702045:0.000000:0.000000:0.000000
0:@0.383472:0.721570:0.388714:0.721570:0.388714:0.712016:0.383472:0.712016:0.000000
h:@0.407769:0.718407:0.417278:0.718407:0.417278:0.702045:0.407769:0.702045:0.000000
h:@0.606917:0.718407:0.616425:0.718407:0.616425:0.702045:0.606917:0.702045:0.000000
a) :@0.148456:0.752097:0.167178:0.752097:0.167178:0.735197:0.148456:0.735197:0.000000:0.000000:0.000000
h:@0.181699:0.752097:0.191208:0.752097:0.191208:0.735736:0.181699:0.735736:0.000000
 = –0,1:@0.191208:0.752097:0.240667:0.752097:0.240667:0.735708:0.191208:0.735708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.148456:0.778292:0.168486:0.778292:0.168486:0.761391:0.148456:0.761391:0.000000:0.000000:0.000000
h:@0.181699:0.778292:0.191208:0.778292:0.191208:0.761931:0.181699:0.761931:0.000000
 = –0,002 5:@0.191208:0.778292:0.271681:0.778292:0.271681:0.761903:0.191208:0.761903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.148456:0.804487:0.166091:0.804487:0.166091:0.787586:0.148456:0.787586:0.000000:0.000000:0.000000
h:@0.181699:0.804487:0.191208:0.804487:0.191208:0.788125:0.181699:0.788125:0.000000
 = –0,000 125:@0.191208:0.804487:0.289667:0.804487:0.289667:0.788098:0.191208:0.788098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.148456:0.830681:0.168523:0.830681:0.168523:0.813781:0.148456:0.813781:0.000000:0.000000:0.000000
h:@0.181699:0.830681:0.191208:0.830681:0.191208:0.814320:0.181699:0.814320:0.000000
 = –0,000 000 1:@0.191208:0.830681:0.302695:0.830681:0.302695:0.814292:0.191208:0.814292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.148456:0.856876:0.167325:0.856876:0.167325:0.839975:0.148456:0.839975:0.000000:0.000000:0.000000
h:@0.181699:0.856876:0.191208:0.856876:0.191208:0.840515:0.181699:0.840515:0.000000
 = –0,01:@0.191208:0.856876:0.249660:0.856876:0.249660:0.840487:0.191208:0.840487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.148456:0.883070:0.165280:0.883070:0.165280:0.866170:0.148456:0.866170:0.000000:0.000000:0.000000
h:@0.181699:0.883070:0.191208:0.883070:0.191208:0.866709:0.181699:0.866709:0.000000
 = –0,001:@0.191208:0.883070:0.258653:0.883070:0.258653:0.866681:0.191208:0.866681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.337965:0.752097:0.357886:0.752097:0.357886:0.735197:0.337965:0.735197:0.000000:0.000000:0.000000
Para un valor de   sufi-:@0.371209:0.752097:0.540522:0.752097:0.540522:0.735708:0.371209:0.735708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.495264:0.752097:0.504772:0.752097:0.504772:0.735736:0.495264:0.735736:0.000000
cientemente pequeño, :@0.371209:0.768694:0.544537:0.768694:0.544537:0.752305:0.371209:0.752305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia qué valor tien-:@0.371209:0.785290:0.540522:0.785290:0.540522:0.768901:0.371209:0.768901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
den   –   y   +  .:@0.371209:0.801886:0.504235:0.801880:0.504235:0.785491:0.371209:0.785498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.404084:0.801886:0.411547:0.801886:0.411547:0.785525:0.404084:0.785525:0.000000
0:@0.411545:0.805044:0.416788:0.805044:0.416788:0.795489:0.411545:0.795489:0.000000
h x:@0.434072:0.801880:0.467224:0.801880:0.467224:0.785519:0.434072:0.785519:0.000000:0.000000:0.000000
0:@0.467224:0.805044:0.472466:0.805044:0.472466:0.795489:0.467224:0.795489:0.000000
h:@0.491520:0.801880:0.501028:0.801880:0.501028:0.785519:0.491520:0.785519:0.000000
___________________:@0.371205:0.828075:0.537312:0.828075:0.537312:0.811174:0.371205:0.811174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.438868:0.272331:0.438868:0.272331:0.420431:0.115209:0.420431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.115209:0.460439:0.155068:0.460439:0.155068:0.444050:0.115209:0.444050:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.353949:0.459585:0.367254:0.459585:0.367254:0.442836:0.353949:0.442836:0.000000
=:@0.177209:0.459391:0.187326:0.459391:0.187326:0.443818:0.177209:0.443818:0.000000
=:@0.245797:0.459391:0.255914:0.459391:0.255914:0.443818:0.245797:0.443818:0.000000
+:@0.289191:0.459391:0.299308:0.459391:0.299308:0.443818:0.289191:0.443818:0.000000
∈:@0.337453:0.459391:0.350592:0.459391:0.350592:0.443818:0.337453:0.443818:0.000000
–1,5;:@0.190246:0.458714:0.222402:0.458714:0.222402:0.442325:0.190246:0.442325:0.000000:0.000000:0.000000:0.000000:0.000000
...:@0.223324:0.458714:0.232611:0.458714:0.232611:0.442325:0.223324:0.442325:0.000000:0.000000:0.000000
–1,5:@0.258815:0.458714:0.288005:0.458714:0.288005:0.442325:0.258815:0.442325:0.000000:0.000000:0.000000:0.000000
;:@0.311205:0.458714:0.314412:0.458714:0.314412:0.442325:0.311205:0.442325:0.000000
...:@0.315333:0.458714:0.324620:0.458714:0.324620:0.442325:0.315333:0.442325:0.000000:0.000000:0.000000
.  :@0.367262:0.458714:0.378568:0.460442:0.378568:0.444054:0.367262:0.442325:0.000000:0.000000:0.000000
0:@0.167317:0.460718:0.172529:0.460718:0.172529:0.451219:0.167317:0.451219:0.000000
x:@0.159150:0.458714:0.166613:0.458714:0.166613:0.442352:0.159150:0.442352:0.000000
x:@0.234280:0.458714:0.241743:0.458714:0.241743:0.442352:0.234280:0.442352:0.000000
hh:@0.301706:0.458714:0.334729:0.458714:0.334729:0.442352:0.301706:0.442352:0.000000:0.000000
Calculemos:@0.378568:0.460442:0.467131:0.460442:0.467131:0.443818:0.378568:0.443818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las distancias que se muestran en la tabla adjunta::@0.467131:0.460442:0.836034:0.460442:0.836034:0.444054:0.467131:0.444054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distancia entre dos números reales:@0.115891:0.141978:0.642033:0.141978:0.642033:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
52 M.5.1.32. Calcular, de manera intuitiva, el límite de una función cuadrática con el uso de la calculadora como una distancia entre dos números reales.:@0.125388:0.074999:0.828620:0.074999:0.828620:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.048299:0.122645:0.082213:0.122645:0.082213:0.065614:0.048299:0.065614:0.000000:0.000000
Definición::@0.122474:0.172186:0.208402:0.172186:0.208402:0.155285:0.122474:0.155285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sean  ,:@0.208402:0.172186:0.266977:0.170928:0.266977:0.154539:0.208402:0.155797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.298165:0.171799:0.311470:0.171799:0.311470:0.155050:0.298165:0.155050:0.000000
∈:@0.281674:0.171605:0.294813:0.171605:0.294813:0.156032:0.281674:0.156032:0.000000
.  La distancia de   a   se denota  ( ,  ) y se define como :@0.311517:0.170928:0.721321:0.172186:0.721321:0.155797:0.311517:0.154539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.254612:0.170928:0.277278:0.170928:0.277278:0.154566:0.254612:0.154566:0.000000:0.000000
x y:@0.434384:0.172186:0.465766:0.172186:0.465766:0.155825:0.434384:0.155825:0.000000:0.000000:0.000000
d x y:@0.546387:0.172186:0.582726:0.172186:0.582726:0.155825:0.546387:0.155825:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.735763:0.173118:0.741899:0.173118:0.741899:0.153184:0.735763:0.153184:0.000000
):@0.768011:0.173118:0.774148:0.173118:0.774148:0.153184:0.768011:0.153184:0.000000
=:@0.776806:0.170664:0.786923:0.170664:0.786923:0.155091:0.776806:0.155091:0.000000
dx y:@0.724306:0.169986:0.766339:0.169986:0.766339:0.153625:0.724306:0.153625:0.000000:0.000000:0.000000:0.000000
x y:@0.793833:0.169986:0.825861:0.169986:0.825861:0.153625:0.793833:0.153625:0.000000:0.000000:0.000000
,:@0.752828:0.169986:0.756035:0.169986:0.756035:0.153597:0.752828:0.153597:0.000000
–:@0.805181:0.169986:0.814395:0.169986:0.814395:0.153597:0.805181:0.153597:0.000000
(:@0.214770:0.197758:0.220906:0.197758:0.220906:0.177825:0.214770:0.177825:0.000000
):@0.247018:0.197758:0.253155:0.197758:0.253155:0.177825:0.247018:0.177825:0.000000
=:@0.255813:0.195304:0.265930:0.195304:0.265930:0.179731:0.255813:0.179731:0.000000
=:@0.311778:0.195304:0.321895:0.195304:0.321895:0.179731:0.311778:0.179731:0.000000
≥:@0.386226:0.195304:0.396342:0.195304:0.396342:0.179731:0.386226:0.179731:0.000000
dx y:@0.203313:0.194626:0.245346:0.194626:0.245346:0.178265:0.203313:0.178265:0.000000:0.000000:0.000000:0.000000
x y:@0.272840:0.194626:0.304868:0.194626:0.304868:0.178265:0.272840:0.178265:0.000000:0.000000:0.000000
x yx y:@0.325912:0.194626:0.407841:0.194626:0.407841:0.178265:0.325912:0.178265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.231839:0.194626:0.235045:0.194626:0.235045:0.178238:0.231839:0.178238:0.000000
–:@0.284192:0.194626:0.293406:0.194626:0.293406:0.178238:0.284192:0.178238:0.000000
–;:@0.337282:0.194626:0.362841:0.194626:0.362841:0.178238:0.337282:0.178238:0.000000:0.000000
...:@0.363762:0.194626:0.373050:0.194626:0.373050:0.178238:0.363762:0.178238:0.000000:0.000000:0.000000
(:@0.596622:0.197758:0.602759:0.197758:0.602759:0.177825:0.596622:0.177825:0.000000
):@0.628871:0.197758:0.635007:0.197758:0.635007:0.177825:0.628871:0.177825:0.000000
=:@0.637666:0.195304:0.647783:0.195304:0.647783:0.179731:0.637666:0.179731:0.000000
=:@0.693630:0.195304:0.703747:0.195304:0.703747:0.179731:0.693630:0.179731:0.000000
<:@0.768078:0.195304:0.778195:0.195304:0.778195:0.179731:0.768078:0.179731:0.000000
dx y:@0.585165:0.194626:0.627199:0.194626:0.627199:0.178265:0.585165:0.178265:0.000000:0.000000:0.000000:0.000000
x y:@0.654693:0.194626:0.686720:0.194626:0.686720:0.178265:0.654693:0.178265:0.000000:0.000000:0.000000
y xx y:@0.707764:0.194626:0.789694:0.194626:0.789694:0.178265:0.707764:0.178265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.613691:0.194626:0.616898:0.194626:0.616898:0.178238:0.613691:0.178238:0.000000
–:@0.666044:0.194626:0.675258:0.194626:0.675258:0.178238:0.666044:0.178238:0.000000
–;:@0.719134:0.194626:0.744693:0.194626:0.744693:0.178238:0.719134:0.178238:0.000000:0.000000
...:@0.745615:0.194626:0.754902:0.194626:0.754902:0.178238:0.745615:0.178238:0.000000:0.000000:0.000000
Teorema:@0.463101:0.220987:0.532149:0.220987:0.532149:0.204086:0.463101:0.204086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.280942:0.247654:0.287078:0.247654:0.287078:0.227721:0.280942:0.227721:0.000000
):@0.313190:0.247654:0.319327:0.247654:0.319327:0.227721:0.313190:0.227721:0.000000
≥:@0.321985:0.245200:0.332102:0.245200:0.332102:0.229627:0.321985:0.229627:0.000000
dx y:@0.269485:0.244522:0.311518:0.244522:0.311518:0.228161:0.269485:0.228161:0.000000:0.000000:0.000000:0.000000
,:@0.298011:0.244522:0.301217:0.244522:0.301217:0.228133:0.298011:0.228133:0.000000
0:@0.334663:0.244522:0.343656:0.244522:0.343656:0.228133:0.334663:0.228133:0.000000
(:@0.641854:0.247654:0.647990:0.247654:0.647990:0.227721:0.641854:0.227721:0.000000
):@0.674102:0.247654:0.680239:0.247654:0.680239:0.227721:0.674102:0.227721:0.000000
(:@0.707401:0.247654:0.713537:0.247654:0.713537:0.227721:0.707401:0.227721:0.000000
):@0.739649:0.247654:0.745786:0.247654:0.745786:0.227721:0.739649:0.227721:0.000000
≥:@0.682897:0.245200:0.693014:0.245200:0.693014:0.229627:0.682897:0.229627:0.000000
dx y:@0.630397:0.244522:0.672430:0.244522:0.672430:0.228161:0.630397:0.228161:0.000000:0.000000:0.000000:0.000000
d yx:@0.695944:0.244522:0.737959:0.244522:0.737959:0.228161:0.695944:0.228161:0.000000:0.000000:0.000000:0.000000
,:@0.658923:0.244522:0.662129:0.244522:0.662129:0.228133:0.658923:0.228133:0.000000
,:@0.724470:0.244522:0.727676:0.244522:0.727676:0.228133:0.724470:0.228133:0.000000
(:@0.246206:0.273226:0.220094:0.273226:0.220094:0.253293:0.246206:0.253293:0.000000
):@0.278454:0.273226:0.252342:0.273226:0.252342:0.253293:0.278454:0.253293:0.000000
= ⇔ =:@0.287249:0.270772:0.355947:0.270772:0.355947:0.255199:0.287249:0.255199:0.000000:0.000000:0.000000:0.000000:0.000000
d xy:@0.234749:0.270095:0.276784:0.270095:0.276784:0.254702:0.234749:0.254702:0.000000:0.000000:0.000000:0.000000
x y:@0.334323:0.270095:0.367455:0.270095:0.367455:0.254702:0.334323:0.254702:0.000000:0.000000:0.000000
,:@0.263275:0.270095:0.266481:0.270095:0.266481:0.254425:0.263275:0.254425:0.000000
0:@0.299927:0.270095:0.308920:0.270095:0.308920:0.254425:0.299927:0.254425:0.000000
(:@0.610862:0.272603:0.616998:0.272603:0.616998:0.252669:0.610862:0.252669:0.000000
):@0.642318:0.272603:0.648454:0.272603:0.648454:0.252669:0.642318:0.252669:0.000000
(:@0.675617:0.272603:0.681753:0.272603:0.681753:0.252669:0.675617:0.252669:0.000000
):@0.707865:0.272603:0.714001:0.272603:0.714001:0.252669:0.707865:0.252669:0.000000
(:@0.739690:0.272603:0.745826:0.272603:0.745826:0.252669:0.739690:0.252669:0.000000
):@0.771146:0.272603:0.777282:0.272603:0.777282:0.252669:0.771146:0.252669:0.000000
≤:@0.651120:0.270149:0.661236:0.270149:0.661236:0.254576:0.651120:0.254576:0.000000
+:@0.715727:0.270149:0.725844:0.270149:0.725844:0.254576:0.715727:0.254576:0.000000
dx z:@0.599393:0.269471:0.640819:0.269471:0.640819:0.253110:0.599393:0.253110:0.000000:0.000000:0.000000:0.000000
d xy:@0.664148:0.269471:0.706181:0.269471:0.706181:0.253110:0.664148:0.253110:0.000000:0.000000:0.000000:0.000000
dy z:@0.728221:0.269471:0.769646:0.269471:0.769646:0.253110:0.728221:0.253110:0.000000:0.000000:0.000000:0.000000
,:@0.627919:0.269471:0.631126:0.269471:0.631126:0.253082:0.627919:0.253082:0.000000
,:@0.692674:0.269471:0.695880:0.269471:0.695880:0.253082:0.692674:0.253082:0.000000
,:@0.756747:0.269471:0.759953:0.269471:0.759953:0.253082:0.756747:0.253082:0.000000
:@0.624735:0.294661:0.638039:0.294661:0.638039:0.277913:0.624735:0.277913:0.000000
(:@0.370882:0.296922:0.377019:0.296922:0.377019:0.276988:0.370882:0.276988:0.000000
):@0.403131:0.296922:0.409267:0.296922:0.409267:0.276988:0.403131:0.276988:0.000000
(:@0.435324:0.296922:0.441460:0.296922:0.441460:0.276988:0.435324:0.276988:0.000000
):@0.466780:0.296922:0.472916:0.296922:0.472916:0.276988:0.466780:0.276988:0.000000
(:@0.502953:0.296922:0.509089:0.296922:0.509089:0.276988:0.502953:0.276988:0.000000
):@0.534409:0.296922:0.540545:0.296922:0.540545:0.276988:0.534409:0.276988:0.000000
≤:@0.478464:0.294467:0.488581:0.294467:0.488581:0.278895:0.478464:0.278895:0.000000
∀:@0.553741:0.294467:0.566880:0.294467:0.566880:0.278895:0.553741:0.278895:0.000000
∈:@0.608250:0.294467:0.621389:0.294467:0.621389:0.278895:0.608250:0.278895:0.000000
,:@0.387948:0.293790:0.391154:0.293790:0.391154:0.277401:0.387948:0.277401:0.000000
–:@0.411775:0.293790:0.420989:0.293790:0.420989:0.277401:0.411775:0.277401:0.000000
,:@0.452389:0.293790:0.455596:0.293790:0.455596:0.277401:0.452389:0.277401:0.000000
,:@0.520037:0.293790:0.523244:0.293790:0.523244:0.277401:0.520037:0.277401:0.000000
....:@0.541229:0.293790:0.553557:0.293790:0.553557:0.277401:0.541229:0.277401:0.000000:0.000000:0.000000:0.000000
,,:@0.575947:0.293790:0.594337:0.293790:0.594337:0.277401:0.575947:0.277401:0.000000:0.000000
dx y:@0.359422:0.293790:0.401455:0.293790:0.401455:0.277428:0.359422:0.277428:0.000000:0.000000:0.000000:0.000000
d yz:@0.423863:0.293790:0.465289:0.293790:0.465289:0.277428:0.423863:0.277428:0.000000:0.000000:0.000000:0.000000
dy z:@0.491493:0.293790:0.532918:0.293790:0.532918:0.277428:0.491493:0.277428:0.000000:0.000000:0.000000:0.000000
x yz:@0.566770:0.293790:0.604012:0.293790:0.604012:0.277428:0.566770:0.277428:0.000000:0.000000:0.000000:0.000000
Noción de límite de una función real::@0.122461:0.319113:0.413778:0.319113:0.413778:0.302212:0.122461:0.302212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sea   una función real definida en todo  ,:@0.413778:0.319113:0.722384:0.318439:0.722384:0.302050:0.413778:0.302724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.446026:0.319113:0.450725:0.319113:0.450725:0.302752:0.446026:0.302752:0.000000
∈:@0.737440:0.319117:0.750579:0.319117:0.750579:0.303544:0.737440:0.303544:0.000000
L:@0.726715:0.318439:0.734344:0.318439:0.734344:0.302078:0.726715:0.302078:0.000000
.:@0.723306:0.318439:0.726512:0.318439:0.726512:0.302050:0.723306:0.302050:0.000000
. Se dice que :@0.767274:0.318439:0.865875:0.319112:0.865875:0.302723:0.767274:0.302050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.705025:0.319310:0.669442:0.319310:0.669442:0.302562:0.705025:0.302562:0.000000
:@0.753914:0.319310:0.718330:0.319310:0.718330:0.302562:0.753914:0.302562:0.000000
f x:@0.122468:0.335708:0.139513:0.335708:0.139513:0.319347:0.122468:0.319347:0.000000:0.000000:0.000000
( ) tiende a   cuando   tiende a   , si y solo si se cumple la siguiente condición::@0.127167:0.335708:0.704092:0.335708:0.704092:0.319319:0.127167:0.319319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.212192:0.335708:0.219821:0.335708:0.219821:0.319347:0.212192:0.319347:0.000000
x:@0.283967:0.335708:0.291431:0.335708:0.291431:0.319347:0.283967:0.319347:0.000000
x:@0.363261:0.335708:0.370725:0.335708:0.370725:0.319347:0.363261:0.319347:0.000000
0:@0.370726:0.338872:0.375969:0.338872:0.375969:0.329317:0.370726:0.329317:0.000000
ε:@0.334473:0.360823:0.284553:0.360823:0.289118:0.345250:0.339038:0.345250:0.000000
δ:@0.392483:0.360823:0.342563:0.360823:0.347128:0.345250:0.397048:0.345250:0.000000
δ:@0.527234:0.360823:0.477313:0.360823:0.481878:0.345250:0.531798:0.345250:0.000000
ε:@0.646330:0.360823:0.596409:0.360823:0.600974:0.345250:0.650894:0.345250:0.000000
(:@0.574407:0.364528:0.528080:0.364528:0.528080:0.342103:0.574407:0.342103:0.000000
):@0.626871:0.364528:0.580543:0.364528:0.580543:0.342103:0.626871:0.342103:0.000000
(:@0.468972:0.363277:0.475109:0.363277:0.475109:0.343344:0.468972:0.343344:0.000000
):@0.507764:0.363277:0.513901:0.363277:0.513901:0.343344:0.507764:0.343344:0.000000
():@0.589642:0.363277:0.612843:0.363277:0.612843:0.343344:0.589642:0.343344:0.000000:0.000000
∀ >:@0.322650:0.360823:0.358050:0.360823:0.358050:0.345250:0.322650:0.345250:0.000000:0.000000:0.000000
∃ >:@0.383738:0.360823:0.379076:0.360823:0.379076:0.345250:0.383738:0.345250:0.000000:0.000000:0.000000
<:@0.444466:0.360823:0.416825:0.360823:0.416825:0.345250:0.444466:0.345250:0.000000
<:@0.516557:0.360823:0.488916:0.360823:0.488916:0.345250:0.516557:0.345250:0.000000
⇒:@0.541460:0.360823:0.559648:0.360823:0.559648:0.345250:0.541460:0.345250:0.000000
<:@0.635644:0.360823:0.645761:0.360823:0.645761:0.345250:0.635644:0.345250:0.000000
d xx:@0.457485:0.360145:0.499502:0.360145:0.499502:0.344752:0.457485:0.344752:0.000000:0.000000:0.000000:0.000000
d f x L:@0.562923:0.360145:0.626463:0.360145:0.626463:0.344752:0.562923:0.344752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.360593:0.360145:0.373326:0.360145:0.373326:0.344475:0.360593:0.344475:0.000000:0.000000
...:@0.374248:0.360145:0.383535:0.360145:0.383535:0.344475:0.374248:0.344475:0.000000:0.000000:0.000000
00:@0.419377:0.360145:0.441564:0.360145:0.441564:0.344475:0.419377:0.344475:0.000000:0.000000
,:@0.486022:0.360145:0.489229:0.360145:0.489229:0.344475:0.486022:0.344475:0.000000
,:@0.614286:0.360145:0.617493:0.360145:0.617493:0.344475:0.614286:0.344475:0.000000
0:@0.500226:0.362149:0.505437:0.362149:0.505437:0.353068:0.500226:0.353068:0.000000
Se escribe  lim( ):@0.122474:0.391488:0.255713:0.389807:0.255713:0.373418:0.122474:0.375099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.220152:0.396369:0.225364:0.396369:0.225364:0.386871:0.220152:0.386871:0.000000
=:@0.258108:0.390485:0.268225:0.390485:0.268225:0.374912:0.258108:0.374912:0.000000
→:@0.209526:0.396762:0.220067:0.396762:0.220067:0.387736:0.209526:0.387736:0.000000
fx:@0.226907:0.389807:0.248762:0.389807:0.248762:0.373446:0.226907:0.373446:0.000000:0.000000
L:@0.270783:0.389807:0.278412:0.389807:0.278412:0.373446:0.270783:0.373446:0.000000
x:@0.204447:0.396369:0.208772:0.396369:0.208772:0.386887:0.204447:0.386887:0.000000
h:@0.172613:0.490243:0.182748:0.490243:0.182748:0.474587:0.172613:0.474587:0.000000
x :@0.257030:0.490243:0.269100:0.490243:0.269100:0.474587:0.257030:0.474587:0.000000:0.000000
= –1,5 + :@0.269100:0.490243:0.335826:0.490243:0.335826:0.473342:0.269100:0.473342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.335826:0.490243:0.345961:0.490243:0.345961:0.474587:0.335826:0.474587:0.000000
d(–1,5; ):@0.389543:0.490243:0.461079:0.490243:0.461079:0.473342:0.389543:0.473342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.443462:0.490243:0.455532:0.490243:0.455532:0.474587:0.443462:0.474587:0.000000:0.000000
0,1:@0.211698:0.515193:0.232889:0.515193:0.232889:0.498804:0.211698:0.498804:0.000000:0.000000:0.000000
–1,4:@0.326299:0.515193:0.356705:0.515193:0.356705:0.498804:0.326299:0.498804:0.000000:0.000000:0.000000:0.000000
0,1:@0.459328:0.515193:0.480520:0.515193:0.480520:0.498804:0.459328:0.498804:0.000000:0.000000:0.000000
0,01:@0.202705:0.540143:0.232889:0.540143:0.232889:0.523754:0.202705:0.523754:0.000000:0.000000:0.000000:0.000000
–1,49:@0.317306:0.540143:0.356705:0.540143:0.356705:0.523754:0.317306:0.523754:0.000000:0.000000:0.000000:0.000000:0.000000
0,01:@0.450335:0.540143:0.480520:0.540143:0.480520:0.523754:0.450335:0.523754:0.000000:0.000000:0.000000:0.000000
0,005:@0.193712:0.565093:0.232889:0.565093:0.232889:0.548704:0.193712:0.548704:0.000000:0.000000:0.000000:0.000000:0.000000
–1,495:@0.308314:0.565093:0.356705:0.565093:0.356705:0.548704:0.308314:0.548704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,005:@0.441343:0.565093:0.480520:0.565093:0.480520:0.548704:0.441343:0.548704:0.000000:0.000000:0.000000:0.000000:0.000000
0,0001:@0.184719:0.590043:0.232889:0.590043:0.232889:0.573654:0.184719:0.573654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1,4999:@0.299321:0.590043:0.356705:0.590043:0.356705:0.573654:0.299321:0.573654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,0001:@0.432350:0.590043:0.480520:0.590043:0.480520:0.573654:0.432350:0.573654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.554951:0.491117:0.561087:0.491117:0.561087:0.471183:0.554951:0.471183:0.000000
):@0.626468:0.491117:0.632605:0.491117:0.632605:0.471183:0.626468:0.471183:0.000000
(:@0.694043:0.491117:0.700179:0.491117:0.700179:0.471183:0.694043:0.471183:0.000000
):@0.731690:0.491117:0.737827:0.491117:0.737827:0.471183:0.731690:0.471183:0.000000
(:@0.554951:0.515246:0.561087:0.515246:0.561087:0.495312:0.554951:0.495312:0.000000
):@0.634890:0.515246:0.641026:0.515246:0.641026:0.495312:0.634890:0.495312:0.000000
(:@0.554951:0.538277:0.561087:0.538277:0.561087:0.518344:0.554951:0.518344:0.000000
):@0.642906:0.538277:0.649042:0.538277:0.649042:0.518344:0.642906:0.518344:0.000000
(:@0.554951:0.561308:0.561087:0.561308:0.561087:0.541375:0.554951:0.541375:0.000000
):@0.655510:0.561308:0.661647:0.561308:0.661647:0.541375:0.655510:0.541375:0.000000
(:@0.554951:0.584340:0.561087:0.584340:0.561087:0.564406:0.554951:0.564406:0.000000
):@0.673109:0.584340:0.679245:0.584340:0.679245:0.564406:0.673109:0.564406:0.000000
=:@0.635258:0.488661:0.645375:0.488661:0.645375:0.473088:0.635258:0.473088:0.000000
=:@0.743373:0.488661:0.753490:0.488661:0.753490:0.473088:0.743373:0.473088:0.000000
=:@0.811368:0.488661:0.821485:0.488661:0.821485:0.473088:0.811368:0.473088:0.000000
=:@0.643695:0.512781:0.653812:0.512781:0.653812:0.497208:0.643695:0.497208:0.000000
=:@0.651711:0.535809:0.661828:0.535809:0.661828:0.520236:0.651711:0.520236:0.000000
=:@0.664334:0.558836:0.674451:0.558836:0.674451:0.543263:0.664334:0.543263:0.000000
=:@0.681932:0.581864:0.692049:0.581864:0.692049:0.566291:0.681932:0.566291:0.000000
d:@0.543522:0.487984:0.552791:0.487984:0.552791:0.471622:0.543522:0.471622:0.000000
d:@0.543522:0.512104:0.552791:0.512104:0.552791:0.495742:0.543522:0.495742:0.000000
d:@0.543522:0.535131:0.552791:0.535131:0.552791:0.518770:0.543522:0.518770:0.000000
d:@0.543522:0.558159:0.552791:0.558159:0.552791:0.541797:0.543522:0.541797:0.000000
d:@0.543522:0.581186:0.552791:0.581186:0.552791:0.564825:0.543522:0.564825:0.000000
–1,5,–1,4:@0.561784:0.487984:0.625581:0.487984:0.625581:0.471595:0.561784:0.471595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1,5– –1,4:@0.651195:0.487984:0.730802:0.487984:0.730802:0.471595:0.651195:0.471595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,5–1,40,1:@0.754887:0.487984:0.845960:0.487984:0.845960:0.471595:0.754887:0.471595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1,5,–1,49:@0.561757:0.512109:0.634344:0.512109:0.634344:0.495720:0.561757:0.495720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,01:@0.656346:0.512109:0.688208:0.512109:0.688208:0.495720:0.656346:0.495720:0.000000:0.000000:0.000000:0.000000
–1,5,–1,495:@0.561739:0.535136:0.643115:0.535136:0.643115:0.518747:0.561739:0.518747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,005:@0.664344:0.535136:0.704995:0.535136:0.704995:0.518747:0.664344:0.518747:0.000000:0.000000:0.000000:0.000000:0.000000
–1,5,–1,499 9:@0.561739:0.558164:0.654964:0.558164:0.654964:0.541775:0.561739:0.541775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.642931:0.558164:0.646137:0.558164:0.646137:0.541775:0.642931:0.541775:0.000000
0,0001:@0.676967:0.558164:0.726408:0.558164:0.726408:0.541775:0.676967:0.541775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1,5,–1,499 998:@0.561739:0.581191:0.672544:0.581191:0.672544:0.564802:0.561739:0.564802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.642931:0.581191:0.646137:0.581191:0.646137:0.564802:0.642931:0.564802:0.000000
0,000 001:@0.694547:0.581191:0.764627:0.581191:0.764627:0.564802:0.694547:0.564802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.735014:0.581191:0.738220:0.581191:0.738220:0.564802:0.735014:0.564802:0.000000
(:@0.554951:0.615659:0.561087:0.615659:0.561087:0.595725:0.554951:0.595725:0.000000
):@0.605885:0.615659:0.612021:0.615659:0.612021:0.595725:0.605885:0.595725:0.000000
(:@0.673474:0.615659:0.679610:0.615659:0.679610:0.595725:0.673474:0.595725:0.000000
):@0.732682:0.615659:0.738818:0.615659:0.738818:0.595725:0.732682:0.595725:0.000000
=:@0.614683:0.613203:0.624800:0.613203:0.624800:0.597630:0.614683:0.597630:0.000000
+:@0.710636:0.613203:0.720753:0.613203:0.720753:0.597630:0.710636:0.597630:0.000000
=:@0.744358:0.613203:0.754475:0.613203:0.754475:0.597630:0.744358:0.597630:0.000000
d:@0.543479:0.612526:0.552748:0.612526:0.552748:0.596164:0.543479:0.596164:0.000000
x:@0.596716:0.612526:0.604179:0.612526:0.604179:0.596164:0.596716:0.596164:0.000000
h:@0.723155:0.612526:0.732664:0.612526:0.732664:0.596164:0.723155:0.596164:0.000000
h:@0.757393:0.612526:0.766902:0.612526:0.766902:0.596164:0.757393:0.596164:0.000000
–1,5,:@0.561757:0.612526:0.593914:0.612526:0.593914:0.596137:0.561757:0.596137:0.000000:0.000000:0.000000:0.000000:0.000000
–1,5– –1,5:@0.630603:0.612526:0.709473:0.612526:0.709473:0.596137:0.630603:0.596137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.603611:0.758435:0.613747:0.758435:0.613747:0.742779:0.603611:0.742779:0.000000
x:@0.691954:0.758435:0.700651:0.758435:0.700651:0.742779:0.691954:0.742779:0.000000
0:@0.700645:0.761599:0.706403:0.761599:0.706403:0.751746:0.700645:0.751746:0.000000
 – :@0.706403:0.758435:0.723245:0.758435:0.723245:0.741535:0.706403:0.741535:0.000000:0.000000:0.000000
h:@0.723245:0.758435:0.733381:0.758435:0.733381:0.742779:0.723245:0.742779:0.000000
x   h:@0.800641:0.758435:0.843405:0.758435:0.843405:0.742779:0.800641:0.742779:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.809343:0.761599:0.815101:0.761599:0.815101:0.751746:0.809343:0.751746:0.000000
+ :@0.818473:0.758435:0.833270:0.758435:0.833270:0.741535:0.818473:0.741535:0.000000:0.000000
–0,1:@0.563766:0.783385:0.594172:0.783385:0.594172:0.766996:0.563766:0.766996:0.000000:0.000000:0.000000:0.000000
–0,0025:@0.563766:0.808335:0.621150:0.808335:0.621150:0.791946:0.563766:0.791946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,000125:@0.563766:0.833285:0.639135:0.833285:0.639135:0.816896:0.563766:0.816896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,0000001:@0.563766:0.858235:0.648128:0.858235:0.648128:0.841846:0.563766:0.841846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,01:@0.563766:0.883185:0.603164:0.883185:0.603164:0.866796:0.563766:0.866796:0.000000:0.000000:0.000000:0.000000:0.000000
–0,001:@0.563766:0.908135:0.612157:0.908135:0.612157:0.891746:0.563766:0.891746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000