28:@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
M.5.1.59. Realizar las operaciones de suma y multiplicación entre sucesiones numéricas reales y la multiplicación de escalares por sucesiones numéricas reales :@0.125388:0.064786:0.877799:0.064786:0.877799:0.054357:0.125388:0.054357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicando las propiedades de los números reales. :@0.125388:0.075348:0.356247:0.075348:0.356247:0.064918:0.125388:0.064918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.60. Identificar sucesiones convergentes y calcular el límite de la sucesión.:@0.125388:0.085909:0.490739:0.085909:0.490739:0.075480:0.125388:0.075480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.115209:0.167757:0.145191:0.167757:0.145191:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000
( ) ∈:@0.145191:0.168434:0.190022:0.168434:0.190022:0.152861:0.145191:0.152861:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.151327:0.167757:0.160596:0.167757:0.160596:0.151395:0.151327:0.151395:0.000000
n:@0.160596:0.170920:0.166140:0.170920:0.166140:0.161382:0.160596:0.161382:0.000000
  . Se dice que :@0.190022:0.167757:0.298800:0.167757:0.298800:0.151368:0.190022:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.194057:0.167757:0.202129:0.167757:0.202129:0.151395:0.194057:0.151395:0.000000
( ):@0.298800:0.168434:0.325880:0.168434:0.325880:0.152861:0.298800:0.152861:0.000000:0.000000:0.000000
a:@0.304936:0.167757:0.314205:0.167757:0.314205:0.151395:0.304936:0.151395:0.000000
n:@0.314200:0.170920:0.319744:0.170920:0.319744:0.161382:0.314200:0.161382:0.000000
 es convergente si y solo si existe       que satisface la condición siguiente::@0.325880:0.167757:0.879078:0.167757:0.879078:0.151368:0.325880:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.569492:0.167757:0.577121:0.167757:0.577121:0.151395:0.569492:0.151395:0.000000
∈:@0.581156:0.168434:0.594295:0.168434:0.594295:0.152861:0.581156:0.152861:0.000000
R:@0.598331:0.166899:0.611636:0.166899:0.611636:0.154037:0.598331:0.154037:0.000000
:@0.382746:0.193609:0.270245:0.193609:0.270245:0.176861:0.382746:0.176861:0.000000
:@0.508552:0.193609:0.396051:0.193609:0.396051:0.176861:0.508552:0.176861:0.000000
n:@0.351290:0.192738:0.360799:0.192738:0.360799:0.176377:0.351290:0.176377:0.000000
n:@0.483638:0.192738:0.493146:0.192738:0.493146:0.176377:0.483638:0.176377:0.000000
nn:@0.576513:0.192738:0.611673:0.192738:0.611673:0.176377:0.576513:0.176377:0.000000:0.000000
a:@0.644566:0.192738:0.653835:0.192738:0.653835:0.176377:0.644566:0.176377:0.000000
L:@0.675138:0.192738:0.682767:0.192738:0.682767:0.176377:0.675138:0.176377:0.000000
n:@0.653664:0.194742:0.659175:0.194742:0.659175:0.185260:0.653664:0.185260:0.000000
ε:@0.295417:0.193416:0.303506:0.193416:0.308071:0.177843:0.299981:0.177843:0.000000
ε:@0.700567:0.193416:0.708656:0.193416:0.713221:0.177843:0.705132:0.177843:0.000000
∀>:@0.283594:0.193416:0.319786:0.193416:0.319786:0.177843:0.283594:0.177843:0.000000:0.000000
∈:@0.369706:0.193416:0.382845:0.193416:0.382845:0.177843:0.369706:0.177843:0.000000
∀ ∈:@0.470579:0.193416:0.508651:0.193416:0.508651:0.177843:0.470579:0.177843:0.000000:0.000000:0.000000
≥:@0.588755:0.193416:0.598872:0.193416:0.598872:0.177843:0.588755:0.177843:0.000000
<:@0.688744:0.193416:0.698861:0.193416:0.698861:0.177843:0.688744:0.177843:0.000000
0,:@0.322697:0.192738:0.335431:0.192738:0.335431:0.176349:0.322697:0.176349:0.000000:0.000000
talque:@0.408865:0.192738:0.458380:0.192738:0.458380:0.176349:0.408865:0.176349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,con:@0.522674:0.192738:0.565223:0.192738:0.565223:0.176349:0.522674:0.176349:0.000000:0.000000:0.000000:0.000000
–:@0.663406:0.192738:0.672620:0.192738:0.672620:0.176349:0.663406:0.176349:0.000000
0:@0.359817:0.194742:0.365029:0.194742:0.365029:0.185244:0.359817:0.185244:0.000000
0:@0.610682:0.194742:0.615894:0.194742:0.615894:0.185244:0.610682:0.185244:0.000000
Si :@0.115209:0.221700:0.131646:0.221700:0.131646:0.205311:0.115209:0.205311:0.000000:0.000000:0.000000
( ) :@0.131646:0.222378:0.163338:0.222378:0.163338:0.206805:0.131646:0.206805:0.000000:0.000000:0.000000:0.000000
a:@0.137783:0.221700:0.147052:0.221700:0.147052:0.205339:0.137783:0.205339:0.000000
n:@0.147052:0.224864:0.152595:0.224864:0.152595:0.215325:0.147052:0.215325:0.000000
es una sucesión que converge a  , escribimos  lim:@0.163338:0.221700:0.526266:0.221700:0.526266:0.205311:0.163338:0.205311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.401770:0.221700:0.409399:0.221700:0.409399:0.205339:0.401770:0.205339:0.000000
a:@0.528968:0.221700:0.538237:0.221700:0.538237:0.205339:0.528968:0.205339:0.000000
L:@0.561732:0.221700:0.569361:0.221700:0.569361:0.205339:0.561732:0.205339:0.000000
n:@0.503054:0.228261:0.508564:0.228261:0.508564:0.218779:0.503054:0.218779:0.000000
n:@0.538072:0.223701:0.543583:0.223701:0.543583:0.214219:0.538072:0.214219:0.000000
=:@0.548339:0.222378:0.558455:0.222378:0.558455:0.206805:0.548339:0.206805:0.000000
→∞:@0.508342:0.228654:0.527000:0.228654:0.527000:0.219629:0.508342:0.219629:0.000000:0.000000
.:@0.573625:0.221700:0.576831:0.221700:0.576831:0.205311:0.573625:0.205311:0.000000
Sucesiones convergentes. Límite de una sucesión:@0.115891:0.141978:0.847590:0.141978:0.847590:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.650520:0.272331:0.650520:0.272331:0.632083:0.115209:0.632083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   = :@0.115209:0.675922:0.179055:0.675922:0.179055:0.659534:0.115209:0.659534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.145191:0.675922:0.154460:0.675922:0.154460:0.659561:0.145191:0.659561:0.000000
n:@0.154460:0.679086:0.160003:0.679086:0.160003:0.669548:0.154460:0.669548:0.000000
    2 2    :@0.179055:0.666909:0.235112:0.666909:0.235112:0.650520:0.179055:0.650520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.204191:0.666909:0.213699:0.666909:0.213699:0.650548:0.204191:0.650548:0.000000
 n:@0.179055:0.686603:0.191881:0.686603:0.191881:0.670242:0.179055:0.670242:0.000000:0.000000
2 + 16:@0.191881:0.686603:0.234191:0.686603:0.234191:0.670214:0.191881:0.670214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,       . :@0.236071:0.675912:0.298430:0.675912:0.298430:0.659524:0.236071:0.659524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.247348:0.675912:0.256857:0.675912:0.256857:0.659551:0.247348:0.659551:0.000000
∈:@0.260893:0.676590:0.274032:0.676590:0.274032:0.661017:0.260893:0.661017:0.000000
R:@0.278067:0.675055:0.291372:0.675055:0.291372:0.662193:0.278067:0.662193:0.000000
Calculamos:@0.298430:0.675912:0.386643:0.675912:0.386643:0.659288:0.298430:0.659288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor al cual converge la sucesión.:@0.386643:0.675912:0.654909:0.675912:0.654909:0.659524:0.386643:0.659524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.115204:0.703200:0.184418:0.703200:0.184418:0.686299:0.115204:0.686299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dividimos:@0.115204:0.723364:0.192452:0.723364:0.192452:0.706740:0.115204:0.706740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 numerador y denominador para la variable con exponente mayor en este caso para n2.:@0.192452:0.723364:0.830616:0.723364:0.830616:0.706975:0.192452:0.706975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.118193:0.769935:0.127462:0.769935:0.127462:0.753573:0.118193:0.753573:0.000000
n:@0.187978:0.745579:0.197487:0.745579:0.197487:0.729218:0.187978:0.729218:0.000000
n:@0.183574:0.764638:0.193083:0.764638:0.193083:0.748276:0.183574:0.748276:0.000000
n:@0.165976:0.780003:0.175485:0.780003:0.175485:0.763642:0.165976:0.763642:0.000000
n:@0.165990:0.799049:0.175499:0.799049:0.175499:0.782687:0.165990:0.782687:0.000000
n:@0.201169:0.799049:0.210677:0.799049:0.210677:0.782687:0.201169:0.782687:0.000000
n:@0.273571:0.797203:0.283079:0.797203:0.283079:0.780842:0.273571:0.780842:0.000000
n:@0.490305:0.780426:0.499814:0.780426:0.499814:0.764064:0.490305:0.764064:0.000000
n:@0.127302:0.771938:0.132813:0.771938:0.132813:0.762456:0.127302:0.762456:0.000000
n:@0.323409:0.776496:0.328920:0.776496:0.328920:0.767014:0.323409:0.767014:0.000000
n:@0.394920:0.776496:0.400431:0.776496:0.400431:0.767014:0.394920:0.767014:0.000000
n:@0.462928:0.776496:0.468439:0.776496:0.468439:0.767014:0.462928:0.767014:0.000000
=:@0.142850:0.770612:0.152967:0.770612:0.152967:0.755039:0.142850:0.755039:0.000000
+:@0.186450:0.789435:0.196567:0.789435:0.196567:0.773862:0.186450:0.773862:0.000000
=:@0.230050:0.770612:0.240167:0.770612:0.240167:0.755039:0.230050:0.755039:0.000000
+:@0.258834:0.787582:0.268951:0.787582:0.268951:0.772009:0.258834:0.772009:0.000000
=:@0.360841:0.770612:0.370958:0.770612:0.370958:0.755039:0.360841:0.755039:0.000000
=:@0.428489:0.770612:0.438605:0.770612:0.438605:0.755039:0.428489:0.755039:0.000000
=:@0.511302:0.770612:0.521419:0.770612:0.521419:0.755039:0.511302:0.755039:0.000000
→∞:@0.328698:0.776889:0.347355:0.776889:0.347355:0.767864:0.328698:0.767864:0.000000:0.000000
→∞:@0.400209:0.776889:0.418866:0.776889:0.418866:0.767864:0.400209:0.767864:0.000000:0.000000
→∞:@0.468217:0.776889:0.486874:0.776889:0.486874:0.767864:0.468217:0.767864:0.000000:0.000000
2:@0.178816:0.745574:0.187809:0.745574:0.187809:0.729186:0.178816:0.729186:0.000000
16:@0.199658:0.779998:0.217440:0.779998:0.217440:0.763609:0.199658:0.763609:0.000000:0.000000
2:@0.267029:0.760981:0.276022:0.760981:0.276022:0.744593:0.267029:0.744593:0.000000
1:@0.250223:0.786913:0.259216:0.786913:0.259216:0.770524:0.250223:0.770524:0.000000
16:@0.272060:0.778145:0.289842:0.778145:0.289842:0.761756:0.272060:0.761756:0.000000:0.000000
lim2 2, lim1 0, lim:@0.323882:0.769935:0.486155:0.769935:0.486155:0.753546:0.323882:0.753546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.488809:0.760973:0.506592:0.760973:0.506592:0.744584:0.488809:0.744584:0.000000:0.000000
0:@0.524724:0.769935:0.533717:0.769935:0.533717:0.753546:0.524724:0.753546:0.000000
2:@0.197453:0.737913:0.202665:0.737913:0.202665:0.728415:0.197453:0.728415:0.000000
2:@0.193053:0.756966:0.198265:0.756966:0.198265:0.747468:0.193053:0.747468:0.000000
2:@0.175464:0.772331:0.180675:0.772331:0.180675:0.762833:0.175464:0.762833:0.000000
2:@0.175464:0.791383:0.180675:0.791383:0.180675:0.781885:0.175464:0.781885:0.000000
2:@0.210642:0.791383:0.215854:0.791383:0.215854:0.781885:0.210642:0.781885:0.000000
2:@0.283050:0.789540:0.288262:0.789540:0.288262:0.780042:0.283050:0.780042:0.000000
2:@0.499782:0.772763:0.504993:0.772763:0.504993:0.763265:0.499782:0.763265:0.000000
Por las propiedades los límites :@0.115209:0.819373:0.339617:0.819373:0.339617:0.802984:0.115209:0.802984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos:@0.339617:0.819373:0.407081:0.819373:0.407081:0.802749:0.339617:0.802749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.407081:0.819373:0.410287:0.819373:0.410287:0.802984:0.407081:0.802984:0.000000
n:@-0.005296:0.874947:0.004213:0.874947:0.004213:0.858586:-0.005296:0.858586:0.000000
n:@0.067106:0.873094:0.076615:0.873094:0.076615:0.856732:0.067106:0.856732:0.000000
n:@0.283834:0.856318:0.293342:0.856318:0.293342:0.839956:0.283834:0.839956:0.000000
n:@0.116960:0.852382:0.122470:0.852382:0.122470:0.842900:0.116960:0.842900:0.000000
n:@0.188470:0.852382:0.193981:0.852382:0.193981:0.842900:0.188470:0.842900:0.000000
n:@0.256479:0.852382:0.261989:0.852382:0.261989:0.842900:0.256479:0.842900:0.000000
=:@0.023600:0.846498:0.033717:0.846498:0.033717:0.830925:0.023600:0.830925:0.000000
+:@0.052384:0.863468:0.062501:0.863468:0.062501:0.847895:0.052384:0.847895:0.000000
=:@0.154391:0.846498:0.164508:0.846498:0.164508:0.830925:0.154391:0.830925:0.000000
=:@0.222039:0.846498:0.232156:0.846498:0.232156:0.830925:0.222039:0.830925:0.000000
=:@0.304853:0.846498:0.314969:0.846498:0.314969:0.830925:0.304853:0.830925:0.000000
→∞:@0.122246:0.852775:0.140904:0.852775:0.140904:0.843749:0.122246:0.843749:0.000000:0.000000
→∞:@0.193757:0.852775:0.212415:0.852775:0.212415:0.843749:0.193757:0.843749:0.000000:0.000000
→∞:@0.261765:0.852775:0.280423:0.852775:0.280423:0.843749:0.261765:0.843749:0.000000:0.000000
16:@-0.006793:0.855884:0.010990:0.855884:0.010990:0.839495:-0.006793:0.839495:0.000000:0.000000
2:@0.060579:0.836867:0.069571:0.836867:0.069571:0.820478:0.060579:0.820478:0.000000
1:@0.043773:0.862799:0.052765:0.862799:0.052765:0.846410:0.043773:0.846410:0.000000
16:@0.065609:0.854030:0.083392:0.854030:0.083392:0.837642:0.065609:0.837642:0.000000:0.000000
lim2 2, lim1 0, lim:@0.117431:0.845820:0.279705:0.845820:0.279705:0.829431:0.117431:0.829431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.282337:0.836862:0.300120:0.836862:0.300120:0.820473:0.282337:0.820473:0.000000:0.000000
0:@0.318249:0.845820:0.327242:0.845820:0.327242:0.829431:0.318249:0.829431:0.000000
2:@0.004192:0.867268:0.009403:0.867268:0.009403:0.857770:0.004192:0.857770:0.000000
2:@0.076600:0.865424:0.081812:0.865424:0.081812:0.855926:0.076600:0.855926:0.000000
2:@0.293330:0.848649:0.298542:0.848649:0.298542:0.839151:0.293330:0.839151:0.000000
⇒ :@0.115209:0.885492:0.138004:0.885492:0.138004:0.869919:0.115209:0.869919:0.000000:0.000000
a:@0.140017:0.884345:0.149286:0.884345:0.149286:0.867984:0.140017:0.867984:0.000000
n:@0.149127:0.886349:0.154638:0.886349:0.154638:0.876867:0.149127:0.876867:0.000000
+:@0.183260:0.895514:0.193377:0.895514:0.193377:0.879941:0.183260:0.879941:0.000000
=:@0.211424:0.885023:0.221541:0.885023:0.221541:0.869450:0.211424:0.869450:0.000000
=:@0.156307:0.884345:0.167290:0.884345:0.167290:0.867956:0.156307:0.867956:0.000000
2:@0.186140:0.875388:0.195133:0.875388:0.195133:0.858999:0.186140:0.858999:0.000000
10:@0.173056:0.894834:0.206705:0.894834:0.206705:0.878445:0.173056:0.878445:0.000000:0.000000
2:@0.224826:0.884345:0.233819:0.884345:0.233819:0.867956:0.224826:0.867956:0.000000
Por lo tanto,   converge a 2 cuando   :@0.115200:0.916404:0.398291:0.916399:0.398291:0.900010:0.115200:0.900015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.207228:0.916404:0.216497:0.916404:0.216497:0.900043:0.207228:0.900043:0.000000
n:@0.216504:0.919562:0.222047:0.919562:0.222047:0.910024:0.216504:0.910024:0.000000
n:@0.384746:0.916399:0.394255:0.916399:0.394255:0.900038:0.384746:0.900038:0.000000
→ ∞:@0.398291:0.917076:0.434225:0.917076:0.434225:0.901504:0.398291:0.901504:0.000000:0.000000:0.000000
.:@0.434225:0.916399:0.437431:0.916399:0.437431:0.900010:0.434225:0.900010:0.000000
8:@0.054138:0.122645:0.076372:0.122645:0.076372:0.065614:0.054138:0.065614:0.000000
Sucesión convergente:@0.232219:0.254972:0.391298:0.254972:0.391298:0.239608:0.232219:0.239608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesión divergente:@0.620121:0.254972:0.767088:0.254972:0.767088:0.239608:0.620121:0.239608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesión que tiene límite.:@0.226188:0.275214:0.397327:0.275214:0.397327:0.260315:0.226188:0.260315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesión que no tiene límite.:@0.597254:0.275214:0.789953:0.275214:0.789953:0.260315:0.597254:0.260315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades básicas de los límites de sucesiones convergentes:@0.272542:0.300788:0.722689:0.300788:0.722689:0.285424:0.272542:0.285424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.122458:0.322967:0.158693:0.322967:0.158693:0.308068:0.122458:0.308068:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ) :@0.158693:0.323583:0.217387:0.323585:0.217387:0.309428:0.158693:0.309426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.164271:0.322967:0.172748:0.322967:0.172748:0.308093:0.164271:0.308093:0.000000
n:@0.172763:0.325845:0.177803:0.325845:0.177803:0.317174:0.172763:0.317174:0.000000
, :@0.183383:0.322969:0.189966:0.322969:0.189966:0.308070:0.183383:0.308070:0.000000:0.000000
v:@0.195545:0.322969:0.202581:0.322969:0.202581:0.308095:0.195545:0.308095:0.000000
n:@0.202579:0.325845:0.207619:0.325845:0.207619:0.317174:0.202579:0.317174:0.000000
sucesiones convergentes. Entonces  :@0.217387:0.322969:0.460377:0.322969:0.460377:0.308070:0.217387:0.308070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.122468:0.338673:0.128046:0.338673:0.128046:0.324516:0.122468:0.324516:0.000000
u:@0.128046:0.338057:0.136523:0.338057:0.136523:0.323183:0.128046:0.323183:0.000000
n:@0.136530:0.340933:0.141569:0.340933:0.141569:0.332261:0.136530:0.332261:0.000000
 ± :@0.141569:0.338057:0.158891:0.338057:0.158891:0.323158:0.141569:0.323158:0.000000:0.000000:0.000000
v:@0.158891:0.338057:0.165927:0.338057:0.165927:0.323183:0.158891:0.323183:0.000000
n:@0.165927:0.340933:0.170966:0.340933:0.170966:0.332261:0.165927:0.332261:0.000000
):@0.170966:0.338673:0.176544:0.338673:0.176544:0.324516:0.170966:0.324516:0.000000
 es convergente, y,:@0.176544:0.338057:0.299371:0.338057:0.299371:0.323158:0.176544:0.323158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
±:@0.248891:0.355903:0.257996:0.355903:0.257996:0.341887:0.248891:0.341887:0.000000
=:@0.281315:0.355903:0.290420:0.355903:0.290420:0.341887:0.281315:0.341887:0.000000
±:@0.337090:0.355903:0.346195:0.355903:0.346195:0.341887:0.337090:0.341887:0.000000
→∞:@0.211388:0.361553:0.227708:0.361553:0.227708:0.353430:0.211388:0.353430:0.000000:0.000000
→∞:@0.298412:0.361553:0.314732:0.361553:0.314732:0.353430:0.298412:0.353430:0.000000:0.000000
→∞:@0.357822:0.361553:0.374142:0.361553:0.374142:0.353430:0.357822:0.353430:0.000000:0.000000
lim(:@0.206675:0.355293:0.231951:0.355293:0.231951:0.340543:0.206675:0.340543:0.000000:0.000000:0.000000:0.000000
)lim:@0.274391:0.355293:0.314162:0.355293:0.314162:0.340543:0.274391:0.340543:0.000000:0.000000:0.000000:0.000000
lim:@0.353120:0.355293:0.373585:0.355293:0.373585:0.340543:0.353120:0.340543:0.000000:0.000000:0.000000
u:@0.232697:0.355293:0.241089:0.355293:0.241089:0.340568:0.232697:0.340568:0.000000
v:@0.259266:0.355293:0.266231:0.355293:0.266231:0.340568:0.259266:0.340568:0.000000
u:@0.316235:0.355293:0.324627:0.355293:0.324627:0.340568:0.316235:0.340568:0.000000
v:@0.375277:0.355293:0.382243:0.355293:0.382243:0.340568:0.375277:0.340568:0.000000
n:@0.206534:0.361199:0.211494:0.361199:0.211494:0.352665:0.206534:0.352665:0.000000
n:@0.240882:0.357097:0.245842:0.357097:0.245842:0.348563:0.240882:0.348563:0.000000
n:@0.267122:0.357097:0.272081:0.357097:0.272081:0.348563:0.267122:0.348563:0.000000
n:@0.293558:0.361199:0.298518:0.361199:0.298518:0.352665:0.293558:0.352665:0.000000
n:@0.324419:0.357097:0.329379:0.357097:0.329379:0.348563:0.324419:0.348563:0.000000
n:@0.352972:0.361199:0.357932:0.361199:0.357932:0.352665:0.352972:0.352665:0.000000
n:@0.383126:0.357097:0.388086:0.357097:0.388086:0.348563:0.383126:0.348563:0.000000
Sean :@0.514447:0.322969:0.550012:0.322969:0.550012:0.308070:0.514447:0.308070:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.549845:0.323585:0.574084:0.323585:0.574084:0.309428:0.549845:0.309428:0.000000:0.000000:0.000000
u:@0.555256:0.322969:0.563732:0.322969:0.563732:0.308095:0.555256:0.308095:0.000000
n:@0.563563:0.325845:0.568603:0.325845:0.568603:0.317174:0.563563:0.317174:0.000000
 una sucesión convergente y      . Entonces :@0.573916:0.322969:0.873866:0.322969:0.873866:0.308070:0.573916:0.308070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ ∈:@0.763788:0.323585:0.788263:0.323585:0.788263:0.309428:0.763788:0.309428:0.000000:0.000000:0.000000
R:@0.791597:0.322190:0.803692:0.322190:0.803692:0.310497:0.791597:0.310497:0.000000
la sucesión :@0.514462:0.338057:0.591339:0.338057:0.591339:0.323158:0.514462:0.323158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(λ  ):@0.591339:0.338673:0.628609:0.338673:0.628609:0.324516:0.591339:0.324516:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.609800:0.338057:0.618277:0.338057:0.618277:0.323183:0.609800:0.323183:0.000000
n:@0.618089:0.340933:0.623129:0.340933:0.623129:0.332261:0.618089:0.332261:0.000000
 es convergente, y,:@0.628442:0.338057:0.751269:0.338057:0.751269:0.323158:0.628442:0.323158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.665342:0.354036:0.673734:0.354036:0.673734:0.339311:0.665342:0.339311:0.000000
u:@0.738465:0.354036:0.746857:0.354036:0.746857:0.339311:0.738465:0.339311:0.000000
n:@0.628591:0.359942:0.633551:0.359942:0.633551:0.351408:0.628591:0.351408:0.000000
n:@0.673541:0.355839:0.678501:0.355839:0.678501:0.347305:0.673541:0.347305:0.000000
n:@0.711752:0.359942:0.716711:0.359942:0.716711:0.351408:0.711752:0.351408:0.000000
n:@0.746665:0.355839:0.751625:0.355839:0.751625:0.347305:0.746665:0.347305:0.000000
λ:@0.654545:0.354646:0.663650:0.354646:0.667759:0.340630:0.658653:0.340630:0.000000
λ:@0.698843:0.354646:0.707948:0.354646:0.712057:0.340630:0.702952:0.340630:0.000000
=:@0.687534:0.354646:0.696639:0.354646:0.696639:0.340630:0.687534:0.340630:0.000000
→∞:@0.633350:0.360295:0.650142:0.360295:0.650142:0.352173:0.633350:0.352173:0.000000:0.000000
→∞:@0.716511:0.360295:0.733302:0.360295:0.733302:0.352173:0.716511:0.352173:0.000000:0.000000
lim(:@0.629015:0.354036:0.654572:0.354036:0.654572:0.339286:0.629015:0.339286:0.000000:0.000000:0.000000:0.000000
):@0.680660:0.354036:0.685055:0.354036:0.685055:0.339286:0.680660:0.339286:0.000000
lim():@0.712188:0.354036:0.758178:0.354036:0.758178:0.339286:0.712188:0.339286:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.122474:0.383557:0.158710:0.383557:0.158710:0.368658:0.122474:0.368658:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ) :@0.158710:0.384173:0.217387:0.384173:0.217387:0.370016:0.158710:0.370016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.164288:0.383557:0.172765:0.383557:0.172765:0.368683:0.164288:0.368683:0.000000
n:@0.172763:0.386433:0.177803:0.386433:0.177803:0.377762:0.172763:0.377762:0.000000
, :@0.183381:0.383557:0.189965:0.383557:0.189965:0.368658:0.183381:0.368658:0.000000:0.000000
v:@0.195543:0.383557:0.202579:0.383557:0.202579:0.368683:0.195543:0.368683:0.000000
n:@0.202579:0.386433:0.207619:0.386433:0.207619:0.377762:0.202579:0.377762:0.000000
sucesiones convergentes. Entonces la :@0.217387:0.383557:0.471534:0.383557:0.471534:0.368658:0.217387:0.368658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión :@0.122468:0.398645:0.184518:0.398645:0.184518:0.383746:0.122468:0.383746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.184518:0.399261:0.190097:0.399261:0.190097:0.385104:0.184518:0.385104:0.000000
u v:@0.190097:0.398645:0.210654:0.398644:0.210654:0.383770:0.190097:0.383771:0.000000:0.000000:0.000000
n n:@0.198579:0.401521:0.215693:0.401521:0.215693:0.392849:0.198579:0.392849:0.000000:0.000000:0.000000
) :@0.215693:0.399260:0.225460:0.399260:0.225460:0.385102:0.215693:0.385102:0.000000:0.000000
es convergente, y,:@0.225460:0.398644:0.344618:0.398644:0.344618:0.383745:0.225460:0.383745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.292134:0.417748:0.301239:0.417748:0.301239:0.403733:0.292134:0.403733:0.000000
⋅:@0.345322:0.417748:0.349468:0.417748:0.349468:0.403733:0.345322:0.403733:0.000000
→∞:@0.235689:0.423398:0.252009:0.423398:0.252009:0.415275:0.235689:0.415275:0.000000:0.000000
→∞:@0.309237:0.423398:0.325558:0.423398:0.325558:0.415275:0.309237:0.415275:0.000000:0.000000
→∞:@0.358286:0.423398:0.374606:0.423398:0.374606:0.415275:0.358286:0.415275:0.000000:0.000000
lim(:@0.230978:0.417139:0.256253:0.417139:0.256253:0.402388:0.230978:0.402388:0.000000:0.000000:0.000000:0.000000
)lim:@0.285210:0.417139:0.324981:0.417139:0.324981:0.402388:0.285210:0.402388:0.000000:0.000000:0.000000:0.000000
lim:@0.353573:0.417139:0.374039:0.417139:0.374039:0.402388:0.353573:0.402388:0.000000:0.000000:0.000000
uv:@0.256983:0.417139:0.277051:0.417139:0.277051:0.402413:0.256983:0.402413:0.000000:0.000000
u:@0.327046:0.417139:0.335438:0.417139:0.335438:0.402413:0.327046:0.402413:0.000000
v:@0.375723:0.417139:0.382688:0.417139:0.382688:0.402413:0.375723:0.402413:0.000000
n:@0.230835:0.423045:0.235795:0.423045:0.235795:0.414511:0.230835:0.414511:0.000000
nn:@0.265188:0.418940:0.282912:0.418940:0.282912:0.410406:0.265188:0.410406:0.000000:0.000000
n:@0.304384:0.423045:0.309344:0.423045:0.309344:0.414511:0.304384:0.414511:0.000000
n:@0.335247:0.418940:0.340207:0.418940:0.340207:0.410406:0.335247:0.410406:0.000000
n:@0.353433:0.423045:0.358392:0.423045:0.358392:0.414511:0.353433:0.414511:0.000000
n:@0.383584:0.418940:0.388544:0.418940:0.388544:0.410406:0.383584:0.410406:0.000000
Sean :@0.514447:0.383557:0.550682:0.383557:0.550682:0.368658:0.514447:0.368658:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.550682:0.384173:0.606511:0.384173:0.606511:0.370016:0.550682:0.370016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.556261:0.383557:0.564687:0.383557:0.564687:0.368683:0.556261:0.368683:0.000000
n:@0.564686:0.386433:0.569725:0.386433:0.569725:0.377762:0.564686:0.377762:0.000000
, :@0.575305:0.383557:0.581889:0.383557:0.581889:0.368658:0.575305:0.368658:0.000000:0.000000
b:@0.587467:0.383557:0.595894:0.383557:0.595894:0.368683:0.587467:0.368683:0.000000
n:@0.595894:0.386433:0.600933:0.386433:0.600933:0.377762:0.595894:0.377762:0.000000
 sucesiones convergentes.  :@0.606511:0.383557:0.787905:0.383557:0.787905:0.368658:0.606511:0.368658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   ≠ 0,    :@0.514440:0.411218:0.585943:0.411218:0.585943:0.396319:0.514440:0.396319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.529383:0.411218:0.537810:0.411218:0.537810:0.396344:0.529383:0.396344:0.000000
n:@0.537816:0.414094:0.542856:0.414094:0.542856:0.405422:0.537816:0.405422:0.000000
∀ ∈:@0.585943:0.411834:0.622145:0.411834:0.622145:0.397677:0.585943:0.397677:0.000000:0.000000:0.000000
n:@0.597887:0.411218:0.606531:0.411218:0.606531:0.396344:0.597887:0.396344:0.000000
      y  :@0.606531:0.411218:0.659787:0.411218:0.659787:0.396319:0.606531:0.396319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.625813:0.410438:0.637909:0.410438:0.637909:0.398745:0.625813:0.398745:0.000000
b:@0.688471:0.411259:0.697740:0.411259:0.697740:0.394898:0.688471:0.394898:0.000000
n:@0.662922:0.417821:0.668432:0.417821:0.668432:0.408339:0.662922:0.408339:0.000000
n:@0.697160:0.413263:0.702671:0.413263:0.702671:0.403781:0.697160:0.403781:0.000000
≠:@0.707421:0.411937:0.717538:0.411937:0.717538:0.396364:0.707421:0.396364:0.000000
→∞:@0.668210:0.418214:0.686868:0.418214:0.686868:0.409188:0.668210:0.409188:0.000000:0.000000
lim:@0.663394:0.411259:0.686134:0.411259:0.686134:0.394870:0.663394:0.394870:0.000000:0.000000:0.000000
0:@0.720833:0.411259:0.729826:0.411259:0.729826:0.394870:0.720833:0.394870:0.000000
, entonces :@0.733493:0.411218:0.805662:0.411218:0.805662:0.396319:0.733493:0.396319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.817275:0.401074:0.825617:0.401074:0.825617:0.386349:0.817275:0.386349:0.000000
b:@0.817325:0.418575:0.825667:0.418575:0.825667:0.403850:0.817325:0.403850:0.000000
a:@0.893366:0.397147:0.901708:0.397147:0.901708:0.382422:0.893366:0.382422:0.000000
b:@0.893416:0.418582:0.901758:0.418582:0.901758:0.403857:0.893416:0.403857:0.000000
n:@0.784057:0.415042:0.789016:0.415042:0.789016:0.406508:0.784057:0.406508:0.000000
n:@0.825472:0.402877:0.830432:0.402877:0.830432:0.394344:0.825472:0.394344:0.000000
n:@0.825145:0.420385:0.830105:0.420385:0.830105:0.411851:0.825145:0.411851:0.000000
n:@0.870045:0.403053:0.875005:0.403053:0.875005:0.394520:0.870045:0.394520:0.000000
n:@0.901562:0.398949:0.906521:0.398949:0.906521:0.390415:0.901562:0.390415:0.000000
n:@0.870420:0.424478:0.875379:0.424478:0.875379:0.415944:0.870420:0.415944:0.000000
n:@0.901235:0.420374:0.906194:0.420374:0.906194:0.411840:0.901235:0.411840:0.000000
⎛:@0.807049:0.400796:0.813418:0.400796:0.813418:0.384577:0.807049:0.384577:0.000000
⎝:@0.807049:0.419604:0.813418:0.419604:0.813418:0.403385:0.807049:0.403385:0.000000
⎜:@0.807049:0.414376:0.813418:0.414376:0.813418:0.398157:0.807049:0.398157:0.000000
⎞:@0.833568:0.400796:0.839937:0.400796:0.839937:0.384577:0.833568:0.384577:0.000000
⎠:@0.833568:0.419604:0.839937:0.419604:0.839937:0.403385:0.833568:0.403385:0.000000
⎟:@0.833568:0.414376:0.839937:0.414376:0.839937:0.398157:0.833568:0.398157:0.000000
=:@0.850396:0.409672:0.859501:0.409672:0.859501:0.393453:0.850396:0.393453:0.000000
→∞:@0.788816:0.415352:0.805612:0.415352:0.805612:0.405952:0.788816:0.405952:0.000000:0.000000
→∞:@0.874802:0.403363:0.891599:0.403363:0.891599:0.393963:0.874802:0.393963:0.000000:0.000000
→∞:@0.875177:0.424795:0.891973:0.424795:0.891973:0.415395:0.875177:0.415395:0.000000:0.000000
lim:@0.784482:0.409136:0.804948:0.409136:0.804948:0.394386:0.784482:0.394386:0.000000:0.000000:0.000000
lim:@0.870475:0.397149:0.890940:0.397149:0.890940:0.382399:0.870475:0.382399:0.000000:0.000000:0.000000
lim:@0.870856:0.418583:0.891322:0.418583:0.891322:0.403833:0.870856:0.403833:0.000000:0.000000:0.000000
 es :@0.845468:0.411218:0.867179:0.411218:0.867179:0.396319:0.845468:0.396319:0.000000:0.000000:0.000000:0.000000
convergente, y:@0.514440:0.430077:0.613211:0.430077:0.613211:0.415178:0.514440:0.415178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.662573:0.448885:0.670915:0.448885:0.670915:0.434160:0.662573:0.434160:0.000000
b:@0.662623:0.466386:0.670965:0.466386:0.670965:0.451661:0.662623:0.451661:0.000000
a:@0.738664:0.444960:0.747006:0.444960:0.747006:0.430235:0.738664:0.430235:0.000000
b:@0.738711:0.466390:0.747053:0.466390:0.747053:0.451664:0.738711:0.451664:0.000000
n:@0.629357:0.462853:0.634316:0.462853:0.634316:0.454319:0.629357:0.454319:0.000000
n:@0.670773:0.450691:0.675733:0.450691:0.675733:0.442157:0.670773:0.442157:0.000000
n:@0.670447:0.468199:0.675406:0.468199:0.675406:0.459665:0.670447:0.459665:0.000000
n:@0.715352:0.450871:0.720312:0.450871:0.720312:0.442337:0.715352:0.442337:0.000000
n:@0.746869:0.446767:0.751829:0.446767:0.751829:0.438233:0.746869:0.438233:0.000000
n:@0.715720:0.472296:0.720680:0.472296:0.720680:0.463762:0.715720:0.463762:0.000000
n:@0.746535:0.468193:0.751494:0.468193:0.751494:0.459659:0.746535:0.459659:0.000000
⎛:@0.652349:0.448608:0.658718:0.448608:0.658718:0.432390:0.652349:0.432390:0.000000
⎝:@0.652349:0.467420:0.658718:0.467420:0.658718:0.451201:0.652349:0.451201:0.000000
⎜:@0.652349:0.462192:0.658718:0.462192:0.658718:0.445973:0.652349:0.445973:0.000000
⎞:@0.678875:0.448608:0.685244:0.448608:0.685244:0.432390:0.678875:0.432390:0.000000
⎠:@0.678875:0.467420:0.685244:0.467420:0.685244:0.451201:0.678875:0.451201:0.000000
⎟:@0.678875:0.462192:0.685244:0.462192:0.685244:0.445973:0.678875:0.445973:0.000000
=:@0.695692:0.457487:0.704797:0.457487:0.704797:0.441268:0.695692:0.441268:0.000000
→∞:@0.634116:0.463163:0.650912:0.463163:0.650912:0.453764:0.634116:0.453764:0.000000:0.000000
→∞:@0.720102:0.451174:0.736899:0.451174:0.736899:0.441775:0.720102:0.441775:0.000000:0.000000
→∞:@0.720480:0.472606:0.737276:0.472606:0.737276:0.463206:0.720480:0.463206:0.000000:0.000000
lim:@0.629780:0.456948:0.650246:0.456948:0.650246:0.442198:0.629780:0.442198:0.000000:0.000000:0.000000
lim:@0.715769:0.444960:0.736235:0.444960:0.736235:0.430210:0.715769:0.430210:0.000000:0.000000:0.000000
lim:@0.716146:0.466390:0.736611:0.466390:0.736611:0.451639:0.716146:0.451639:0.000000:0.000000:0.000000
Sean :@0.122474:0.498316:0.158710:0.498316:0.158710:0.483417:0.122474:0.483417:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.158710:0.498932:0.183331:0.498932:0.183331:0.484775:0.158710:0.484775:0.000000:0.000000:0.000000
a:@0.164288:0.498316:0.172715:0.498316:0.172715:0.483442:0.164288:0.483442:0.000000
n:@0.172713:0.501192:0.177753:0.501192:0.177753:0.492521:0.172713:0.492521:0.000000
 una sucesión y      . Si :@0.183331:0.498316:0.348576:0.498316:0.348576:0.483417:0.183331:0.483417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.289239:0.498316:0.296175:0.498316:0.296175:0.483442:0.289239:0.483442:0.000000
∈:@0.299844:0.498932:0.311788:0.498932:0.311788:0.484775:0.299844:0.484775:0.000000
R:@0.315122:0.497537:0.327217:0.497537:0.327217:0.485844:0.315122:0.485844:0.000000
a:@0.374722:0.498159:0.383064:0.498159:0.383064:0.483434:0.374722:0.483434:0.000000
L:@0.404210:0.498159:0.411076:0.498159:0.411076:0.483434:0.404210:0.483434:0.000000
n:@0.351399:0.504064:0.356359:0.504064:0.356359:0.495530:0.351399:0.495530:0.000000
n:@0.382916:0.499959:0.387875:0.499959:0.387875:0.491425:0.382916:0.491425:0.000000
=:@0.392154:0.498769:0.401259:0.498769:0.401259:0.484753:0.392154:0.484753:0.000000
→∞:@0.356158:0.504417:0.372950:0.504417:0.372950:0.496295:0.356158:0.496295:0.000000:0.000000
lim:@0.351823:0.498159:0.372289:0.498159:0.372289:0.483409:0.351823:0.483409:0.000000:0.000000:0.000000
, entonces :@0.414911:0.498316:0.487080:0.498316:0.487080:0.483417:0.414911:0.483417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.515821:0.498159:0.524163:0.498159:0.524163:0.483434:0.515821:0.483434:0.000000
L:@0.550500:0.498159:0.557366:0.498159:0.557366:0.483434:0.550500:0.483434:0.000000
n:@0.489906:0.504064:0.494866:0.504064:0.494866:0.495530:0.489906:0.495530:0.000000
n:@0.524018:0.499959:0.528978:0.499959:0.528978:0.491425:0.524018:0.491425:0.000000
=:@0.535845:0.498769:0.544950:0.498769:0.544950:0.484753:0.535845:0.484753:0.000000
→∞:@0.494666:0.504417:0.511457:0.504417:0.511457:0.496295:0.494666:0.496295:0.000000:0.000000
lim:@0.490330:0.498159:0.510796:0.498159:0.510796:0.483409:0.490330:0.483409:0.000000:0.000000:0.000000
. El recíproco, en general, no es cierto. Por :@0.560546:0.498316:0.839001:0.498316:0.839001:0.483417:0.560546:0.483417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, la sucesión :@0.122471:0.520948:0.260894:0.520948:0.260894:0.506049:0.122471:0.506049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.260894:0.521564:0.285519:0.521562:0.285519:0.507405:0.260894:0.507406:0.000000:0.000000:0.000000
a:@0.266473:0.520948:0.274899:0.520948:0.274899:0.506074:0.266473:0.506074:0.000000
n:@0.274901:0.523824:0.279941:0.523824:0.279941:0.515152:0.274901:0.515152:0.000000
 con :@0.285519:0.520946:0.318219:0.520946:0.318219:0.506047:0.285519:0.506047:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.318219:0.521562:0.342842:0.521562:0.342842:0.507405:0.318219:0.507405:0.000000:0.000000:0.000000
a:@0.323798:0.520946:0.332224:0.520946:0.332224:0.506072:0.323798:0.506072:0.000000
n:@0.332224:0.523824:0.337264:0.523824:0.337264:0.515152:0.332224:0.515152:0.000000
 =  1  no es convergente, mientras que :@0.342842:0.520946:0.610942:0.520946:0.610942:0.506047:0.342842:0.506047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.360164:0.521562:0.379496:0.521562:0.379496:0.507405:0.360164:0.507405:0.000000:0.000000:0.000000
n:@0.379496:0.515450:0.384536:0.515450:0.384536:0.506779:0.379496:0.506779:0.000000
| |:@0.610942:0.521562:0.631111:0.521562:0.631111:0.507405:0.610942:0.507405:0.000000:0.000000:0.000000
a:@0.614293:0.520946:0.622719:0.520946:0.622719:0.506072:0.614293:0.506072:0.000000
n:@0.622721:0.523824:0.627761:0.523824:0.627761:0.515152:0.622721:0.515152:0.000000
 = 1,    :@0.631111:0.520946:0.674198:0.520946:0.674198:0.506047:0.631111:0.506047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.674198:0.521562:0.710400:0.521562:0.710400:0.507405:0.674198:0.507405:0.000000:0.000000:0.000000
n:@0.686142:0.520946:0.694786:0.520946:0.694786:0.506072:0.686142:0.506072:0.000000
   :@0.694786:0.520946:0.714068:0.520946:0.714068:0.506047:0.694786:0.506047:0.000000:0.000000:0.000000
Z:@0.714068:0.520167:0.725242:0.520167:0.725242:0.508474:0.714068:0.508474:0.000000
+:@0.725073:0.515450:0.730894:0.515450:0.730894:0.506764:0.725073:0.506764:0.000000
 con lo que la :@0.730895:0.520946:0.824323:0.520946:0.824323:0.506047:0.730895:0.506047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión :@0.122481:0.536034:0.184532:0.536034:0.184532:0.521135:0.122481:0.521135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(| |):@0.184532:0.536650:0.215850:0.536651:0.215850:0.522494:0.184532:0.522493:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.193461:0.536034:0.201887:0.536034:0.201887:0.521160:0.193461:0.521160:0.000000
n:@0.201882:0.538911:0.206922:0.538911:0.206922:0.530240:0.201882:0.530240:0.000000
 converge a 1.:@0.215850:0.536035:0.308357:0.536035:0.308357:0.521136:0.215850:0.521136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notas::@0.122473:0.554681:0.168575:0.554681:0.168575:0.539317:0.122473:0.539317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Si el límite de ( ) es +   ó  –  la sucesión es divergente.:@0.122473:0.573327:0.522183:0.573338:0.522183:0.558439:0.122473:0.558428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.242988:0.573327:0.251414:0.573327:0.251414:0.558453:0.242988:0.558453:0.000000
n:@0.251421:0.576214:0.256460:0.576214:0.256460:0.567543:0.251421:0.567543:0.000000
∞:@0.292595:0.573954:0.304539:0.573954:0.304539:0.559797:0.292595:0.559797:0.000000
∞:@0.336503:0.573954:0.348447:0.573954:0.348447:0.559797:0.336503:0.559797:0.000000
•  Si el límite de ( ) no existe, la sucesión es divergente.:@0.122474:0.591984:0.500872:0.591989:0.500872:0.577090:0.122474:0.577085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.242989:0.591984:0.251416:0.591984:0.251416:0.577110:0.242989:0.577110:0.000000
n:@0.251421:0.594865:0.256460:0.594865:0.256460:0.586193:0.251421:0.586193:0.000000
•  La sucesión ( ) solo converge cuando su límite es finito.:@0.122474:0.610635:0.520659:0.610641:0.520659:0.595742:0.122474:0.595736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.231482:0.610635:0.239909:0.610635:0.239909:0.595761:0.231482:0.595761:0.000000
n:@0.239912:0.613517:0.244952:0.613517:0.244952:0.604846:0.239912:0.604846:0.000000
Shutterstock, 1011583405.:@0.896371:0.913425:0.896371:0.821304:0.882475:0.821304:0.882475:0.913425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000