76:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Sucesiones convergentes. :@0.404235:0.119706:0.715628:0.119706:0.715628:0.075047:0.404235:0.075047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Límite de una sucesión:@0.404235:0.157425:0.684720:0.157425:0.684720:0.112766:0.404235:0.112766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.59. Realizar las operaciones de suma y multiplicación entre sucesiones numéricas reales y la multiplicación de escalares por sucesiones numéricas reales aplicando las :@0.143847:0.926510:0.894336:0.926510:0.894336:0.916468:0.143847:0.916468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de los números reales.:@0.143847:0.935311:0.294965:0.935311:0.294965:0.925269:0.143847:0.925269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.60. Identificar sucesiones convergentes y calcular el límite de la sucesión.:@0.143847:0.944112:0.479225:0.944112:0.479225:0.934070:0.143847:0.934070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.76. Reconocer sucesiones numéricas reales que convergen para determinar su límite.:@0.143847:0.952913:0.531784:0.952913:0.531784:0.942871:0.143847:0.942871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.61. Conocer y aplicar el álgebra de límites de sucesiones convergentes en la resolución de aplicaciones o problemas con sucesiones reales en matemática financiera :@0.143847:0.961714:0.894323:0.961714:0.894323:0.951672:0.143847:0.951672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(interés compuesto), e interpretar y juzgar la validez de las soluciones obtenidas.:@0.143847:0.970515:0.488969:0.970515:0.488969:0.960473:0.143847:0.960473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antes de dar una definición formal de límite de una sucesión, se da :@0.404236:0.180695:0.895920:0.180695:0.895920:0.164197:0.404236:0.164197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una de tipo intuitivo que se propone en los ejemplos.:@0.404236:0.198046:0.783315:0.198046:0.783315:0.181548:0.404236:0.181548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404236:0.232964:0.416508:0.232964:0.416508:0.216249:0.404236:0.216249:0.000000:0.000000
  Se considera la sucesión numérica real ( ) definida como:@0.416508:0.232747:0.837021:0.232747:0.837021:0.216249:0.416508:0.216249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.708450:0.232863:0.717659:0.232863:0.717659:0.216394:0.708450:0.216394:0.000000
n:@0.717513:0.236093:0.722971:0.236093:0.722971:0.226491:0.717513:0.226491:0.000000
 :@0.404229:0.274620:0.408371:0.274620:0.408371:0.258123:0.404229:0.258123:0.000000
u:@0.430125:0.258386:0.439334:0.258386:0.439334:0.241917:0.430125:0.241917:0.000000
n:@0.439130:0.260556:0.444549:0.260556:0.444549:0.251024:0.439130:0.251024:0.000000
=:@0.449025:0.258270:0.459833:0.258270:0.459833:0.241773:0.449025:0.241773:0.000000
2:@0.474725:0.249436:0.483221:0.249436:0.483221:0.232938:0.474725:0.232938:0.000000
n:@0.463690:0.269746:0.473053:0.269746:0.473053:0.253277:0.463690:0.253277:0.000000
+:@0.474363:0.270180:0.484940:0.270180:0.484940:0.251339:0.474363:0.251339:0.000000
5:@0.486250:0.269630:0.494746:0.269630:0.494746:0.253132:0.486250:0.253132:0.000000
,:@0.498236:0.258270:0.500990:0.258270:0.500990:0.241773:0.498236:0.241773:0.000000
 :@0.510066:0.274615:0.514208:0.274615:0.514208:0.258118:0.510066:0.258118:0.000000
n:@0.526641:0.261065:0.536546:0.261065:0.542349:0.243643:0.532445:0.243643:0.000000
.:@0.572620:0.261064:0.575636:0.261064:0.575636:0.243642:0.572620:0.243642:0.000000
 :@0.579543:0.274615:0.583685:0.274615:0.583685:0.258118:0.579543:0.258118:0.000000
Se tienen las desigualdades siguientes::@0.585169:0.260778:0.852661:0.260778:0.852661:0.244280:0.585169:0.244280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.414899:0.300138:0.423395:0.300138:0.423395:0.283641:0.414899:0.283641:0.000000
<:@0.457879:0.300138:0.468687:0.300138:0.468687:0.283641:0.457879:0.283641:0.000000
u:@0.469766:0.300254:0.478974:0.300254:0.478974:0.283785:0.469766:0.283785:0.000000
n:@0.478768:0.302424:0.484187:0.302424:0.484187:0.292892:0.478768:0.292892:0.000000
+:@0.483641:0.302675:0.489762:0.302675:0.489762:0.291771:0.483641:0.291771:0.000000
1:@0.488982:0.302357:0.493899:0.302357:0.493899:0.292809:0.488982:0.292809:0.000000
=:@0.497457:0.300138:0.508264:0.300138:0.508264:0.283641:0.497457:0.283641:0.000000
2:@0.523790:0.291298:0.532286:0.291298:0.532286:0.274801:0.523790:0.274801:0.000000
n:@0.512115:0.311613:0.521478:0.311613:0.521478:0.295144:0.512115:0.295144:0.000000
+:@0.522788:0.312047:0.533364:0.312047:0.533364:0.293207:0.522788:0.293207:0.000000
6:@0.535503:0.311498:0.543999:0.311498:0.543999:0.295000:0.535503:0.295000:0.000000
<:@0.547767:0.300138:0.558575:0.300138:0.558575:0.283641:0.547767:0.283641:0.000000
u:@0.559654:0.300254:0.568863:0.300254:0.568863:0.283785:0.559654:0.283785:0.000000
n:@0.568654:0.302424:0.574073:0.302424:0.574073:0.292892:0.568654:0.292892:0.000000
=:@0.578550:0.300138:0.589358:0.300138:0.589358:0.283641:0.578550:0.283641:0.000000
2:@0.604253:0.291298:0.612749:0.291298:0.612749:0.274801:0.604253:0.274801:0.000000
n:@0.593214:0.311613:0.602577:0.311613:0.602577:0.295144:0.593214:0.295144:0.000000
+:@0.603887:0.312047:0.614464:0.312047:0.614464:0.293207:0.603887:0.293207:0.000000
5:@0.615774:0.311498:0.624270:0.311498:0.624270:0.295000:0.615774:0.295000:0.000000
<:@0.627603:0.300138:0.638410:0.300138:0.638410:0.283641:0.627603:0.283641:0.000000
<:@0.658228:0.300138:0.669035:0.300138:0.669035:0.283641:0.658228:0.283641:0.000000
u:@0.670114:0.300254:0.679323:0.300254:0.679323:0.283785:0.670114:0.283785:0.000000
2:@0.679116:0.302357:0.684034:0.302357:0.684034:0.292809:0.679116:0.292809:0.000000
=:@0.688749:0.300138:0.699557:0.300138:0.699557:0.283641:0.688749:0.283641:0.000000
2:@0.714244:0.291298:0.722740:0.291298:0.722740:0.274801:0.714244:0.274801:0.000000
2 5:@0.703417:0.311498:0.734068:0.311498:0.734068:0.295000:0.703417:0.295000:0.000000:0.000000:0.000000
+:@0.713686:0.312047:0.724262:0.312047:0.724262:0.293207:0.713686:0.293207:0.000000
< =:@0.737383:0.300138:0.777088:0.300138:0.777088:0.283641:0.737383:0.283641:0.000000:0.000000:0.000000
u:@0.749269:0.300254:0.758478:0.300254:0.758478:0.283785:0.749269:0.283785:0.000000
1:@0.757801:0.302357:0.762718:0.302357:0.762718:0.292809:0.757801:0.292809:0.000000
2:@0.790414:0.291298:0.798910:0.291298:0.798910:0.274801:0.790414:0.274801:0.000000
1 5 5:@0.780146:0.311498:0.834457:0.311498:0.834457:0.295000:0.780146:0.295000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.788411:0.312047:0.798987:0.312047:0.798987:0.293207:0.788411:0.293207:0.000000
< = ,:@0.812140:0.300138:0.871696:0.300138:0.871696:0.283641:0.812140:0.283641:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.825961:0.291298:0.834457:0.291298:0.834457:0.274801:0.825961:0.274801:0.000000
u:@0.851711:0.300254:0.860920:0.300254:0.860920:0.283785:0.851711:0.283785:0.000000
0:@0.860932:0.302357:0.865849:0.302357:0.865849:0.292809:0.860932:0.292809:0.000000
es decir que para :@0.404236:0.335374:0.530980:0.335374:0.530980:0.318877:0.404236:0.318877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.534240:0.335836:0.543603:0.335836:0.543603:0.319367:0.534240:0.319367:0.000000
+:@0.576645:0.328003:0.582767:0.328003:0.582767:0.317098:0.576645:0.317098:0.000000
 cada vez más grande, los correspondientes :@0.581689:0.335374:0.895936:0.335374:0.895936:0.318877:0.581689:0.318877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores que se obtienen de la sucesión se aproximan cada vez más a :@0.404237:0.352725:0.895846:0.352725:0.895846:0.336227:0.404237:0.336227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cero. :@0.404237:0.370076:0.441554:0.370076:0.441554:0.353578:0.404237:0.353578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, para   = 10 , se tiene  :@0.404237:0.396955:0.657056:0.396954:0.657056:0.380457:0.404237:0.380457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.532253:0.397071:0.541616:0.397071:0.541616:0.380602:0.532253:0.380602:0.000000
1:@0.541614:0.400231:0.546567:0.400231:0.546567:0.390613:0.541614:0.390613:0.000000
4:@0.582651:0.390601:0.587604:0.390601:0.587604:0.380983:0.582651:0.380983:0.000000
u:@0.659199:0.395715:0.668408:0.395715:0.668408:0.379246:0.659199:0.379246:0.000000
n:@0.668204:0.397885:0.673623:0.397885:0.673623:0.388353:0.668204:0.388353:0.000000
1:@0.672709:0.401785:0.677626:0.401785:0.677626:0.392236:0.672709:0.392236:0.000000
=:@0.682024:0.395599:0.692832:0.395599:0.692832:0.379101:0.682024:0.379101:0.000000
2:@0.715058:0.386759:0.723554:0.386759:0.723554:0.370261:0.715058:0.370261:0.000000
10:@0.695890:0.406959:0.712805:0.406959:0.712805:0.390461:0.695890:0.390461:0.000000:0.000000
4:@0.713645:0.398918:0.718562:0.398918:0.718562:0.389369:0.713645:0.389369:0.000000
+:@0.722021:0.407504:0.732597:0.407504:0.732597:0.388664:0.722021:0.388664:0.000000
5:@0.733908:0.406955:0.742404:0.406955:0.742404:0.390457:0.733908:0.390457:0.000000
<0,000 2,:@0.745737:0.395599:0.814765:0.395599:0.814765:0.379101:0.745737:0.379101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para    = 10 , resulta  :@0.404236:0.441086:0.566454:0.441086:0.566454:0.424588:0.404236:0.424588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.443749:0.441201:0.453112:0.441201:0.453112:0.424733:0.443749:0.424733:0.000000
2:@0.453111:0.444362:0.458064:0.444362:0.458064:0.434744:0.453111:0.434744:0.000000
10:@0.494148:0.434733:0.504054:0.434733:0.504054:0.425115:0.494148:0.425115:0.000000:0.000000
u:@0.568599:0.439944:0.577808:0.439944:0.577808:0.423475:0.568599:0.423475:0.000000
n:@0.577603:0.442114:0.583023:0.442114:0.583023:0.432582:0.577603:0.432582:0.000000
2:@0.582577:0.446014:0.587494:0.446014:0.587494:0.436465:0.582577:0.436465:0.000000
=:@0.593047:0.439828:0.603855:0.439828:0.603855:0.423331:0.593047:0.423331:0.000000
2:@0.628176:0.430987:0.636671:0.430987:0.636671:0.414489:0.628176:0.414489:0.000000
10:@0.606926:0.451186:0.623841:0.451186:0.623841:0.434689:0.606926:0.434689:0.000000:0.000000
10:@0.623987:0.443147:0.633778:0.443147:0.633778:0.433599:0.623987:0.433599:0.000000:0.000000
+:@0.637232:0.451819:0.647808:0.451819:0.647808:0.435538:0.637232:0.435538:0.000000
5:@0.649119:0.451183:0.657615:0.451183:0.657615:0.434685:0.649119:0.434685:0.000000
<0,0000000002,:@0.660947:0.439828:0.779428:0.439828:0.779428:0.423331:0.660947:0.423331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404236:0.458436:0.408378:0.458436:0.408378:0.441939:0.404236:0.441939:0.000000
para  :@0.404236:0.485214:0.441397:0.485214:0.441397:0.468717:0.404236:0.468717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.443152:0.485475:0.452515:0.485475:0.452515:0.469006:0.443152:0.469006:0.000000
3:@0.452160:0.487584:0.457077:0.487584:0.457077:0.478035:0.452160:0.478035:0.000000
=10:@0.461583:0.485365:0.490847:0.485365:0.490847:0.468868:0.461583:0.468868:0.000000:0.000000:0.000000
10:@0.491005:0.477330:0.500795:0.477330:0.500795:0.467781:0.491005:0.467781:0.000000:0.000000
10:@0.500428:0.473597:0.510218:0.473597:0.510218:0.464048:0.500428:0.464048:0.000000:0.000000
,:@0.514144:0.485365:0.516899:0.485365:0.516899:0.468868:0.514144:0.468868:0.000000
 :@0.518941:0.485221:0.523083:0.485221:0.523083:0.468723:0.518941:0.468723:0.000000
u:@0.524421:0.484075:0.533630:0.484075:0.533630:0.467607:0.524421:0.467607:0.000000
n:@0.533426:0.486246:0.538845:0.486246:0.538845:0.476713:0.533426:0.476713:0.000000
3:@0.538399:0.490145:0.543316:0.490145:0.543316:0.480597:0.538399:0.480597:0.000000
=:@0.548660:0.483960:0.559468:0.483960:0.559468:0.467462:0.548660:0.467462:0.000000
2:@0.588925:0.475125:0.597421:0.475125:0.597421:0.458628:0.588925:0.458628:0.000000
10:@0.562531:0.498621:0.579446:0.498621:0.579446:0.482123:0.562531:0.482123:0.000000:0.000000
10:@0.579600:0.490579:0.589391:0.490579:0.589391:0.481030:0.579600:0.481030:0.000000:0.000000
10:@0.589023:0.486847:0.598813:0.486847:0.598813:0.477298:0.589023:0.477298:0.000000:0.000000
+:@0.603106:0.499164:0.613682:0.499164:0.613682:0.480324:0.603106:0.480324:0.000000
5:@0.614993:0.498615:0.623489:0.498615:0.623489:0.482117:0.614993:0.482117:0.000000
 es mucho más pequeño que :@0.629105:0.485217:0.828385:0.485217:0.828385:0.468719:0.629105:0.468719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.827541:0.486508:0.837364:0.486508:0.837364:0.468941:0.827541:0.468941:0.000000
n:@0.837147:0.488823:0.842927:0.488823:0.842927:0.478655:0.837147:0.478655:0.000000
2:@0.842450:0.492983:0.847696:0.492983:0.847696:0.482798:0.842450:0.482798:0.000000
 y este, :@0.848057:0.485217:0.895912:0.485217:0.895912:0.468719:0.848057:0.468719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a su vez, es más pequeño que :@0.404244:0.519918:0.629048:0.519918:0.629048:0.503421:0.404244:0.503421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.633193:0.521338:0.643059:0.521338:0.643059:0.503693:0.633193:0.503693:0.000000
n:@0.642841:0.523663:0.648647:0.523663:0.648647:0.513450:0.642841:0.513450:0.000000
1:@0.647667:0.527841:0.652936:0.527841:0.652936:0.517610:0.647667:0.517610:0.000000
. Esta situación se expresa como :@0.656021:0.519918:0.895912:0.519918:0.895912:0.503421:0.656021:0.503421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sigue:   se aproxima a 0 conforme  :@0.404244:0.537269:0.661234:0.537269:0.661234:0.520772:0.404244:0.520772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.447662:0.538891:0.457638:0.538891:0.457638:0.521050:0.447662:0.521050:0.000000
n:@0.457417:0.541242:0.463288:0.541242:0.463288:0.530916:0.457417:0.530916:0.000000
n:@0.664207:0.539399:0.675006:0.539399:0.675006:0.520404:0.664207:0.520404:0.000000
, o también :@0.716531:0.537269:0.801371:0.537269:0.801371:0.520772:0.716531:0.520772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.803739:0.539063:0.813715:0.539063:0.813715:0.521222:0.803739:0.521222:0.000000
n:@0.813494:0.541415:0.819365:0.541415:0.819365:0.531088:0.813494:0.531088:0.000000
 converge :@0.823192:0.537269:0.895916:0.537269:0.895916:0.520772:0.823192:0.520772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a   conforme :@0.404230:0.554909:0.502310:0.554909:0.502310:0.538411:0.404230:0.538411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.416213:0.555025:0.424285:0.555025:0.424285:0.538556:0.416213:0.538556:0.000000
n:@0.505273:0.557039:0.516072:0.557039:0.516072:0.538044:0.505273:0.538044:0.000000
, que se escribe :@0.557598:0.554909:0.668408:0.554909:0.668408:0.538411:0.557598:0.538411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.670554:0.554107:0.679763:0.554107:0.679763:0.537638:0.670554:0.537638:0.000000
n:@0.679558:0.556277:0.684978:0.556277:0.684978:0.546745:0.679558:0.546745:0.000000
n:@0.688040:0.560874:0.693459:0.560874:0.693459:0.551342:0.688040:0.551342:0.000000
0, o también lím  =0.:@0.713849:0.553991:0.882604:0.553991:0.882604:0.537494:0.713849:0.537494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.815043:0.562564:0.820463:0.562564:0.820463:0.553032:0.815043:0.553032:0.000000
u:@0.838969:0.554105:0.848178:0.554105:0.848178:0.537636:0.838969:0.537636:0.000000
n:@0.847972:0.556277:0.853391:0.556277:0.853391:0.546745:0.847972:0.546745:0.000000
Esta última escritura se lee: “el límite de   es   cuando   tiene a  ”.  :@0.404236:0.589611:0.888967:0.589611:0.888967:0.573113:0.404236:0.573113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.685896:0.591234:0.695872:0.591234:0.695872:0.573393:0.685896:0.573393:0.000000
n:@0.695651:0.593585:0.701522:0.593585:0.701522:0.583259:0.695651:0.583259:0.000000
0:@0.725522:0.589726:0.733594:0.589726:0.733594:0.573258:0.725522:0.573258:0.000000
n:@0.795935:0.589726:0.805297:0.589726:0.805297:0.573258:0.795935:0.573258:0.000000
∞:@0.861128:0.589726:0.874441:0.589726:0.874441:0.573258:0.861128:0.573258:0.000000
Observa que en términos de la distancia de números reales  :@0.404235:0.606961:0.895937:0.606961:0.895937:0.590464:0.404235:0.590464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d x y:@0.407220:0.633411:0.445904:0.633411:0.445904:0.616943:0.407220:0.616943:0.000000:0.000000:0.000000:0.000000:0.000000
( , )=:@0.416756:0.633296:0.465613:0.633296:0.465613:0.616798:0.416756:0.616798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.471932:0.633411:0.504951:0.633411:0.504951:0.616943:0.471932:0.616943:0.000000:0.000000:0.000000
,:@0.510562:0.633296:0.513317:0.633296:0.513317:0.616798:0.510562:0.616798:0.000000
 :@0.516477:0.633365:0.520619:0.633365:0.520619:0.616867:0.516477:0.616867:0.000000
∀:@0.521390:0.633336:0.532101:0.633336:0.532101:0.615942:0.521390:0.615942:0.000000
x y:@0.532593:0.634203:0.554865:0.634203:0.554865:0.617056:0.532593:0.617056:0.000000:0.000000:0.000000
,:@0.541999:0.634082:0.544733:0.634082:0.544733:0.616906:0.541999:0.616906:0.000000
,:@0.591089:0.634082:0.593823:0.634082:0.593823:0.616906:0.591089:0.616906:0.000000
 la aproximación o :@0.598221:0.633365:0.735852:0.633365:0.735852:0.616867:0.598221:0.616867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convergencia:@0.736622:0.633582:0.833794:0.633582:0.833794:0.616867:0.736622:0.616867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de   a :@0.833758:0.633365:0.895920:0.633365:0.895920:0.616867:0.833758:0.616867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.862056:0.634988:0.872032:0.634988:0.872032:0.617147:0.862056:0.617147:0.000000
n:@0.871809:0.637339:0.877680:0.637339:0.877680:0.627013:0.871809:0.627013:0.000000
0:@0.404232:0.650831:0.412304:0.650831:0.412304:0.634362:0.404232:0.634362:0.000000
 se compara con esta distancia y con un número :@0.412304:0.650715:0.776468:0.650715:0.776468:0.634218:0.412304:0.634218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>0:@0.792032:0.652071:0.817351:0.652071:0.817351:0.632378:0.792032:0.632378:0.000000:0.000000
 arbitrario, :@0.818061:0.650715:0.895914:0.650715:0.895914:0.634218:0.818061:0.634218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando :@0.404243:0.670365:0.462443:0.670365:0.462443:0.653868:0.404243:0.653868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n n:@0.465000:0.670272:0.499440:0.670272:0.499440:0.653803:0.465000:0.653803:0.000000:0.000000:0.000000
0:@0.499291:0.672375:0.504208:0.672375:0.504208:0.662826:0.499291:0.662826:0.000000
,:@0.507300:0.670156:0.510055:0.670156:0.510055:0.653658:0.507300:0.653658:0.000000
 siendo :@0.516043:0.670372:0.571335:0.670372:0.571335:0.653874:0.516043:0.653874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.572340:0.670068:0.581703:0.670068:0.581703:0.653599:0.572340:0.653599:0.000000
0:@0.581554:0.672171:0.586471:0.672171:0.586471:0.662622:0.581554:0.662622:0.000000
+:@0.621655:0.662235:0.627777:0.662235:0.627777:0.651330:0.621655:0.651330:0.000000
 lo que debe determinarse. Entonces,:@0.625232:0.670372:0.886195:0.670372:0.886195:0.653874:0.625232:0.653874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d u:@0.501621:0.695595:0.525492:0.695595:0.525492:0.679126:0.501621:0.679126:0.000000:0.000000:0.000000
( ,0)=:@0.511158:0.695479:0.565614:0.695479:0.565614:0.678982:0.511158:0.678982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.525284:0.697765:0.530703:0.697765:0.530703:0.688233:0.525284:0.688233:0.000000
u:@0.570353:0.695595:0.579562:0.695595:0.579562:0.679126:0.570353:0.679126:0.000000
n:@0.579362:0.697765:0.584782:0.697765:0.584782:0.688233:0.579362:0.688233:0.000000
0 =:@0.601141:0.695479:0.626293:0.695479:0.626293:0.678982:0.601141:0.678982:0.000000:0.000000:0.000000
u:@0.631033:0.695595:0.640241:0.695595:0.640241:0.679126:0.631033:0.679126:0.000000
n:@0.640038:0.697765:0.645457:0.697765:0.645457:0.688233:0.640038:0.688233:0.000000
< cuando  :@0.651974:0.695479:0.741593:0.695479:0.741593:0.678982:0.651974:0.678982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n n:@0.741438:0.695595:0.775881:0.695595:0.775881:0.679126:0.741438:0.679126:0.000000:0.000000:0.000000
0:@0.775732:0.697698:0.780650:0.697698:0.780650:0.688149:0.775732:0.688149:0.000000
.:@0.783010:0.695479:0.785764:0.695479:0.785764:0.678982:0.783010:0.678982:0.000000
 :@0.795155:0.704139:0.799297:0.704139:0.799297:0.687642:0.795155:0.687642:0.000000
Por ejemplo, si :@0.404244:0.731062:0.511087:0.731062:0.511087:0.714564:0.404244:0.714564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=10 ,:@0.521959:0.731855:0.572377:0.731855:0.572377:0.714036:0.521959:0.714036:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.560750:0.723175:0.566062:0.723175:0.566062:0.712861:0.560750:0.712861:0.000000
 la desigualdad :@0.573362:0.731065:0.682114:0.731065:0.682114:0.714567:0.573362:0.714567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.687085:0.729778:0.696294:0.729778:0.696294:0.713310:0.687085:0.713310:0.000000
n:@0.696090:0.731949:0.701509:0.731949:0.701509:0.722416:0.696090:0.722416:0.000000
=:@0.708812:0.729663:0.719619:0.729663:0.719619:0.713165:0.708812:0.713165:0.000000
2:@0.734511:0.720828:0.743007:0.720828:0.743007:0.704331:0.734511:0.704331:0.000000
n:@0.723477:0.741137:0.732839:0.741137:0.732839:0.724668:0.723477:0.724668:0.000000
+:@0.734150:0.741571:0.744726:0.741571:0.744726:0.722731:0.734150:0.722731:0.000000
5:@0.746036:0.741021:0.754532:0.741021:0.754532:0.724523:0.746036:0.724523:0.000000
< <:@0.757864:0.729663:0.795163:0.729663:0.795163:0.713165:0.757864:0.713165:0.000000:0.000000:0.000000
2:@0.771889:0.720828:0.780385:0.720828:0.780385:0.704331:0.771889:0.704331:0.000000
n:@0.771683:0.741137:0.781046:0.741137:0.781046:0.724668:0.771683:0.724668:0.000000
se verifica :@0.817808:0.731065:0.891168:0.731065:0.891168:0.714567:0.817808:0.714567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si se elige :@0.404240:0.764870:0.472979:0.764870:0.472979:0.748372:0.404240:0.748372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.475538:0.765002:0.484901:0.765002:0.484901:0.748533:0.475538:0.748533:0.000000
>:@0.486692:0.764886:0.497500:0.764886:0.497500:0.748388:0.486692:0.748388:0.000000
2:@0.500506:0.756052:0.509001:0.756052:0.509001:0.739554:0.500506:0.739554:0.000000
. En este caso, elegimos :@0.518204:0.764876:0.685269:0.764876:0.685269:0.748378:0.518204:0.748378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.687834:0.764848:0.697197:0.764848:0.697197:0.748379:0.687834:0.748379:0.000000
0:@0.697048:0.766951:0.701965:0.766951:0.701965:0.757403:0.697048:0.757403:0.000000
+:@0.737150:0.757015:0.743272:0.757015:0.743272:0.746110:0.737150:0.746110:0.000000
 que verifique esta:@0.741604:0.764876:0.871044:0.764876:0.871044:0.748378:0.741604:0.748378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desigualdad, por ejemplo, :@0.404231:0.795861:0.589694:0.795861:0.589694:0.779364:0.404231:0.779364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.592202:0.796194:0.601565:0.796194:0.601565:0.779725:0.592202:0.779725:0.000000
0:@0.601417:0.798285:0.606334:0.798285:0.606334:0.788736:0.601417:0.788736:0.000000
=201:@0.611050:0.796066:0.649522:0.796066:0.649522:0.779568:0.611050:0.779568:0.000000:0.000000:0.000000:0.000000
 satisface la condición :@0.651622:0.795849:0.809771:0.795849:0.809771:0.779351:0.651622:0.779351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.817456:0.786840:0.825952:0.786840:0.825952:0.770342:0.817456:0.770342:0.000000
n:@0.813792:0.807150:0.823155:0.807150:0.823155:0.790681:0.813792:0.790681:0.000000
0:@0.823006:0.809253:0.827923:0.809253:0.827923:0.799705:0.823006:0.799705:0.000000
<:@0.833371:0.795680:0.844178:0.795680:0.844178:0.779182:0.833371:0.779182:0.000000
. Así, :@0.859965:0.795855:0.895916:0.795855:0.895916:0.779357:0.859965:0.779357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se tiene la implicación::@0.404245:0.813205:0.564241:0.813205:0.564241:0.796708:0.404245:0.796708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.524088:0.838672:0.533451:0.838672:0.533451:0.822203:0.524088:0.822203:0.000000
>201:@0.535242:0.838556:0.572887:0.838556:0.572887:0.822059:0.535242:0.822059:0.000000:0.000000:0.000000:0.000000
d u:@0.596281:0.838672:0.620150:0.838672:0.620150:0.822203:0.596281:0.822203:0.000000:0.000000:0.000000
( , 0)=:@0.605817:0.838556:0.665762:0.838556:0.665762:0.822059:0.605817:0.822059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.619943:0.840842:0.625363:0.840842:0.625363:0.831310:0.619943:0.831310:0.000000
u:@0.670501:0.838672:0.679710:0.838672:0.679710:0.822203:0.670501:0.822203:0.000000
n:@0.679518:0.840842:0.684938:0.840842:0.684938:0.831310:0.679518:0.831310:0.000000
<10 = .:@0.691454:0.838556:0.760381:0.838556:0.760381:0.822059:0.691454:0.822059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.726531:0.830519:0.731448:0.830519:0.731448:0.820971:0.726531:0.820971:0.000000
Decimos, entonces, que la sucesión :@0.404236:0.876141:0.659092:0.876141:0.659092:0.859643:0.404236:0.859643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.662225:0.877022:0.693032:0.877022:0.693032:0.858050:0.662225:0.858050:0.000000:0.000000:0.000000
u:@0.668118:0.877155:0.678708:0.877155:0.678708:0.858216:0.668118:0.858216:0.000000
n:@0.678480:0.879651:0.684712:0.879651:0.684712:0.868689:0.678480:0.868689:0.000000
, definida como :@0.694143:0.876141:0.809501:0.876141:0.809501:0.859643:0.694143:0.859643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.811830:0.876176:0.821039:0.876176:0.821039:0.859707:0.811830:0.859707:0.000000
n:@0.820835:0.878346:0.826254:0.878346:0.826254:0.868814:0.820835:0.868814:0.000000
=:@0.830729:0.876060:0.841537:0.876060:0.841537:0.859563:0.830729:0.859563:0.000000
2:@0.856434:0.867220:0.864930:0.867220:0.864930:0.850723:0.856434:0.850723:0.000000
n:@0.845395:0.887535:0.854758:0.887535:0.854758:0.871066:0.845395:0.871066:0.000000
+:@0.856068:0.887969:0.866644:0.887969:0.866644:0.869129:0.856068:0.869129:0.000000
5:@0.867954:0.887419:0.876450:0.887419:0.876450:0.870922:0.867954:0.870922:0.000000
,:@0.879939:0.876060:0.882694:0.876060:0.882694:0.859563:0.879939:0.859563:0.000000
   :@0.891771:0.876141:0.895913:0.876141:0.895913:0.859643:0.891771:0.859643:0.000000:0.000000:0.000000
∀:@0.404245:0.901256:0.414956:0.901256:0.414956:0.883862:0.404245:0.883862:0.000000
n:@0.414618:0.902389:0.425264:0.902389:0.425264:0.883663:0.414618:0.883663:0.000000
 converge a 0.:@0.464860:0.902544:0.560762:0.902544:0.560762:0.886046:0.464860:0.886046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199644:0.601527:0.267109:0.601527:0.267109:0.583844:0.199644:0.583844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convergente: :@0.199880:0.628340:0.289889:0.628340:0.289889:0.613079:0.199880:0.613079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
serie en :@0.289889:0.628142:0.342692:0.628142:0.342692:0.613079:0.289889:0.613079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la suma de sus términos se :@0.153337:0.643984:0.358081:0.643984:0.358081:0.628921:0.153337:0.628921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aproxima cada vez mas a una :@0.153337:0.659826:0.347003:0.659826:0.347003:0.644763:0.153337:0.644763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada cantidad; p. ej., 1/2 :@0.153337:0.675668:0.362938:0.675668:0.362938:0.660605:0.153337:0.660605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ 1/4 + 1/8 + 1/16…, se acerca :@0.153337:0.691510:0.355341:0.691510:0.355341:0.676447:0.153337:0.676447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresivamente a valer 1, sin :@0.153337:0.707352:0.346722:0.707352:0.346722:0.692289:0.153337:0.692289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llegar nunca.:@0.153337:0.723194:0.235516:0.723194:0.235516:0.708131:0.153337:0.708131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.605260:0.158313:0.603751:0.153110:0.581606:0.141706:0.583115:0.000000
c:@0.150290:0.616229:0.160889:0.614826:0.155807:0.593192:0.145207:0.594594:0.000000
b:@0.160665:0.609011:0.173379:0.607329:0.168247:0.585486:0.155534:0.587169:0.000000
Saberes previos:@0.199646:0.098108:0.307805:0.098108:0.307805:0.082635:0.199646:0.082635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es una sucesión?:@0.199884:0.126735:0.343770:0.126735:0.343770:0.111672:0.199884:0.111672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.177535:0.363493:0.177535:0.363493:0.162063:0.199646:0.162063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puede el límite de una :@0.199884:0.206163:0.352952:0.206163:0.352952:0.191100:0.199884:0.191100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión ser infinito?:@0.153341:0.222005:0.286882:0.222005:0.286882:0.206942:0.153341:0.206942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199646:0.304500:0.297269:0.304500:0.297269:0.289028:0.199646:0.289028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199646:0.317068:0.283709:0.317068:0.283709:0.301596:0.199646:0.301596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.199884:0.342960:0.204026:0.342960:0.204026:0.326491:0.199884:0.326491:0.000000
n :@0.204025:0.342629:0.216356:0.342629:0.216356:0.327592:0.204025:0.327592:0.000000:0.000000
→ :@0.216356:0.350943:0.236739:0.350943:0.236739:0.331080:0.216356:0.331080:0.000000:0.000000
∞ :@0.236739:0.342960:0.254193:0.342960:0.254193:0.326491:0.236739:0.326491:0.000000:0.000000
se lee “  tiende :@0.254195:0.342523:0.356198:0.342523:0.356198:0.327460:0.254195:0.327460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.298678:0.342629:0.307227:0.342629:0.307227:0.327592:0.298678:0.327592:0.000000
a infinito” o “  es suficiente-:@0.153351:0.358365:0.333667:0.358365:0.333667:0.343302:0.153351:0.343302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.237361:0.358471:0.245910:0.358471:0.245910:0.343434:0.237361:0.343434:0.000000
mente grande”.:@0.153351:0.374207:0.250958:0.374207:0.250958:0.359144:0.153351:0.359144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∞:@0.153346:0.395558:0.166658:0.395558:0.166658:0.379089:0.153346:0.379089:0.000000
 es el símbolo infinito, no es :@0.166659:0.395121:0.349401:0.395121:0.349401:0.380058:0.166659:0.380058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un número real.:@0.153343:0.410963:0.255858:0.410963:0.255858:0.395900:0.153343:0.395900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.155540:0.431993:0.164074:0.431993:0.164074:0.416982:0.155540:0.416982:0.000000
+:@0.194183:0.424857:0.199756:0.424857:0.199756:0.414929:0.194183:0.414929:0.000000
 es un número elemento :@0.201306:0.430370:0.364575:0.430370:0.364575:0.415307:0.201306:0.415307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los enteros positivos.:@0.153338:0.446212:0.307212:0.446212:0.307212:0.431149:0.153338:0.431149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe:@0.153338:0.475163:0.201464:0.475163:0.201464:0.459902:0.153338:0.459902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con tus palabras qué es :@0.201464:0.474965:0.360001:0.474965:0.360001:0.459902:0.201464:0.459902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una sucesión.:@0.153338:0.490807:0.239739:0.490807:0.239739:0.475744:0.153338:0.475744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000