﻿91:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.190006:0.147589:0.201946:0.147589:0.201946:0.124425:0.190006:0.124425:0.000000
x:@0.412887:0.338418:0.424529:0.338418:0.424529:0.315254:0.412887:0.315254:0.000000
f x:@0.279865:0.188006:0.299653:0.188006:0.299653:0.171600:0.279865:0.171600:0.000000:0.000000:0.000000
( )=2:@0.285939:0.188006:0.328626:0.188006:0.328626:0.172293:0.285939:0.172293:0.000000:0.000000:0.000000:0.000000:0.000000
x+:@0.330006:0.188006:0.349812:0.188006:0.349812:0.171600:0.330006:0.171600:0.000000:0.000000
1:@0.351193:0.188006:0.360176:0.188006:0.360176:0.172293:0.351193:0.172293:0.000000
3:@0.194786:0.254324:0.203769:0.254324:0.203769:0.238611:0.194786:0.238611:0.000000
1:@0.237823:0.339419:0.246805:0.339419:0.246805:0.323706:0.237823:0.323706:0.000000
3 + ε:@0.157861:0.197922:0.193645:0.197922:0.193645:0.182209:0.157861:0.182209:0.000000:0.000000:0.000000:0.000000:0.000000
3 + ε=2:@0.298511:0.359986:0.362532:0.359986:0.362532:0.344273:0.298511:0.344273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x+:@0.363912:0.359986:0.383718:0.359986:0.383718:0.343579:0.363912:0.343579:0.000000:0.000000
1:@0.385099:0.359986:0.394082:0.359986:0.394082:0.344273:0.385099:0.344273:0.000000
3 − ε=2:@0.134447:0.379443:0.198468:0.379443:0.198468:0.363730:0.134447:0.363730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x+:@0.199848:0.379443:0.219655:0.379443:0.219655:0.363037:0.199848:0.363037:0.000000:0.000000
1:@0.221035:0.379443:0.230018:0.379443:0.230018:0.363730:0.221035:0.363730:0.000000
3 − ε:@0.157861:0.307037:0.193645:0.307037:0.193645:0.291324:0.157861:0.291324:0.000000:0.000000:0.000000:0.000000:0.000000
x=:@0.307696:0.382299:0.327503:0.382299:0.327503:0.365893:0.307696:0.365893:0.000000:0.000000
1+:@0.328883:0.382299:0.350217:0.382299:0.350217:0.366587:0.328883:0.366587:0.000000:0.000000
ε:@0.355942:0.376087:0.363710:0.376087:0.363710:0.360374:0.355942:0.360374:0.000000
2:@0.355334:0.389955:0.364317:0.389955:0.364317:0.374242:0.355334:0.374242:0.000000
x=:@0.148144:0.404258:0.167950:0.404258:0.167950:0.387852:0.148144:0.387852:0.000000:0.000000
1−:@0.169331:0.404258:0.190665:0.404258:0.190665:0.388545:0.169331:0.388545:0.000000:0.000000
ε:@0.196390:0.398045:0.204157:0.398045:0.204157:0.382332:0.196390:0.382332:0.000000
2:@0.195782:0.411913:0.204765:0.411913:0.204765:0.396200:0.195782:0.396200:0.000000
Figura 3.2:@0.249585:0.437595:0.323538:0.437595:0.323538:0.420925:0.249585:0.420925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ:@0.514226:0.237393:0.523430:0.237393:0.523430:0.219739:0.514226:0.219739:0.000000
 :@0.523871:0.236811:0.527185:0.236811:0.527185:0.220405:0.523871:0.220405:0.000000
es la longitud de la menor de las dos distancias :@0.529430:0.236811:0.916700:0.236811:0.916700:0.221098:0.529430:0.221098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
marcadas en marrón.:@0.514226:0.253453:0.667282:0.253453:0.667282:0.237740:0.514226:0.237740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ=:@0.514226:0.284836:0.539775:0.284836:0.539775:0.267182:0.514226:0.267182:0.000000:0.000000
min 1:@0.540788:0.284254:0.588775:0.284254:0.588775:0.268541:0.540788:0.268541:0.000000:0.000000:0.000000:0.000000:0.000000
{ + –:@0.572651:0.284836:0.630558:0.284839:0.630558:0.267185:0.572651:0.267182:0.000000:0.000000:0.000000:0.000000:0.000000
ε:@0.608660:0.278611:0.617864:0.278611:0.617864:0.260957:0.608660:0.260957:0.000000
2:@0.609179:0.291847:0.617345:0.291847:0.617345:0.277563:0.609179:0.277563:0.000000
1,1 1:@0.631570:0.284256:0.682154:0.284256:0.682154:0.268544:0.631570:0.268544:0.000000:0.000000:0.000000:0.000000:0.000000
–( – )}:@0.655813:0.284839:0.721868:0.284839:0.721868:0.267185:0.655813:0.267185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ε:@0.695904:0.278611:0.705107:0.278611:0.705107:0.260957:0.695904:0.260957:0.000000
2:@0.696423:0.291847:0.704589:0.291847:0.704589:0.277563:0.696423:0.277563:0.000000
  =:@0.514234:0.315640:0.538771:0.315640:0.538771:0.297986:0.514234:0.297986:0.000000:0.000000:0.000000
min:@0.539599:0.315058:0.570450:0.315058:0.570450:0.299345:0.539599:0.299345:0.000000:0.000000:0.000000
{:@0.571462:0.315640:0.577592:0.315640:0.577592:0.297986:0.571462:0.297986:0.000000
ε ε:@0.581111:0.309417:0.614803:0.309417:0.614803:0.291763:0.581111:0.291763:0.000000:0.000000:0.000000
2 2:@0.581630:0.322654:0.614284:0.322654:0.614284:0.308369:0.581630:0.308369:0.000000:0.000000:0.000000
, :@0.593805:0.315063:0.602070:0.315063:0.602070:0.299350:0.593805:0.299350:0.000000:0.000000
}:@0.618294:0.315645:0.624423:0.315645:0.624423:0.297991:0.618294:0.297991:0.000000
  =:@0.514238:0.346446:0.538774:0.346446:0.538774:0.328792:0.514238:0.328792:0.000000:0.000000:0.000000
ε:@0.542110:0.340223:0.551313:0.340223:0.551313:0.322569:0.542110:0.322569:0.000000
2:@0.542628:0.353460:0.550794:0.353460:0.550794:0.339176:0.542628:0.339176:0.000000
Ejercicio 4:@0.073089:0.472106:0.149492:0.472106:0.149492:0.455437:0.073089:0.455437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Completemos la prueba de que lim :@0.073089:0.506610:0.338023:0.506543:0.338023:0.490831:0.073089:0.490898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.309664:0.514820:0.315086:0.514820:0.315086:0.502888:0.309664:0.502888:0.000000
1:@0.325836:0.514820:0.332369:0.514820:0.332369:0.503393:0.325836:0.503393:0.000000
x:@0.339017:0.506543:0.346472:0.506543:0.346472:0.490137:0.339017:0.490137:0.000000
2:@0.347520:0.500479:0.352757:0.500479:0.352757:0.491319:0.347520:0.491319:0.000000
=:@0.353770:0.507199:0.369103:0.507199:0.369103:0.489545:0.353770:0.489545:0.000000
1.:@0.369011:0.506617:0.382227:0.506617:0.382227:0.490904:0.369011:0.490904:0.000000:0.000000
Supongamos que :@0.073096:0.544574:0.207046:0.544574:0.207046:0.528861:0.073096:0.528861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ε>:@0.206862:0.545156:0.232595:0.545156:0.232595:0.527502:0.206862:0.527502:0.000000:0.000000
0; elija :@0.233791:0.544574:0.286274:0.544574:0.286274:0.528861:0.233791:0.528861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ=:@0.286160:0.545156:0.311709:0.545156:0.311709:0.527502:0.286160:0.527502:0.000000:0.000000
min 1, :@0.312722:0.544574:0.370005:0.544574:0.370005:0.528861:0.312722:0.528861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.344585:0.545156:0.350714:0.545156:0.350714:0.527502:0.344585:0.527502:0.000000
ε:@0.373516:0.538924:0.382719:0.538924:0.382719:0.521270:0.373516:0.521270:0.000000
2:@0.374035:0.552161:0.382201:0.552161:0.382201:0.537877:0.374035:0.537877:0.000000
}:@0.386210:0.545152:0.392340:0.545152:0.392340:0.527498:0.386210:0.527498:0.000000
; asuma que 0:@0.393352:0.544570:0.494953:0.544570:0.494953:0.528857:0.393352:0.528857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
<∙ – ∙<δ:@0.495899:0.545152:0.576707:0.545152:0.576707:0.527498:0.495899:0.527498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.517343:0.544570:0.524798:0.544570:0.524798:0.528164:0.517343:0.528164:0.000000
1:@0.536045:0.544570:0.545028:0.544570:0.545028:0.528857:0.536045:0.528857:0.000000
.:@0.577719:0.544570:0.580922:0.544570:0.580922:0.528857:0.577719:0.528857:0.000000
Dado que :@0.073084:0.579074:0.158144:0.579074:0.158144:0.563361:0.073084:0.563361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙ – ∙<:@0.159120:0.579657:0.213366:0.579657:0.213366:0.562002:0.159120:0.562002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.164219:0.579074:0.171674:0.579074:0.171674:0.562668:0.164219:0.562668:0.000000
1:@0.182920:0.579074:0.191903:0.579074:0.191903:0.563361:0.182920:0.563361:0.000000
1, podemos concluir que  1:@0.214378:0.579074:0.420503:0.579074:0.420503:0.563361:0.214378:0.563361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– < – <:@0.401304:0.579657:0.481928:0.579657:0.481928:0.562002:0.401304:0.562002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.437879:0.579074:0.445334:0.579074:0.445334:0.562668:0.437879:0.562668:0.000000
1 1. Por lo tanto, 1:@0.456581:0.579074:0.602087:0.579074:0.602087:0.563361:0.456581:0.563361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< + <:@0.603029:0.579657:0.669553:0.579657:0.669553:0.562002:0.603029:0.562002:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.619375:0.579074:0.626830:0.579074:0.626830:0.562668:0.619375:0.562668:0.000000
1 3. Por lo tanto :@0.644206:0.579074:0.791284:0.579074:0.791284:0.563361:0.644206:0.563361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙ + ∙<:@0.792219:0.579657:0.852595:0.579657:0.852595:0.562002:0.792219:0.562002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.797318:0.579074:0.804773:0.579074:0.804773:0.562668:0.797318:0.562668:0.000000
1:@0.822149:0.579074:0.831132:0.579074:0.831132:0.563361:0.822149:0.563361:0.000000
3.:@0.853607:0.579074:0.866824:0.579074:0.866824:0.563361:0.853607:0.563361:0.000000:0.000000
Ejercicio 5:@0.073103:0.613578:0.149506:0.613578:0.149506:0.596909:0.073103:0.596909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea la función real   definida como :@0.073103:0.648082:0.327730:0.648082:0.327730:0.632370:0.073103:0.632370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.208378:0.648082:0.213071:0.648082:0.213071:0.631676:0.208378:0.631676:0.000000
f h:@0.327546:0.648082:0.349911:0.648082:0.349911:0.631676:0.327546:0.631676:0.000000:0.000000:0.000000
( )= +:@0.333271:0.648665:0.398414:0.648665:0.398414:0.631010:0.333271:0.631010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.374429:0.648082:0.382050:0.648082:0.382050:0.631676:0.374429:0.631676:0.000000
2 ,     :@0.399427:0.648082:0.462456:0.648101:0.462456:0.632388:0.399427:0.632370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.409440:0.648082:0.418938:0.648082:0.418938:0.631676:0.409440:0.631676:0.000000
2:@0.419997:0.642037:0.425234:0.642037:0.425234:0.632877:0.419997:0.632877:0.000000
h:@0.447896:0.648101:0.457394:0.648101:0.457394:0.631695:0.447896:0.631695:0.000000
∈ ℝ:@0.462383:0.648684:0.495516:0.648684:0.495516:0.631029:0.462383:0.631029:0.000000:0.000000:0.000000
. :@0.495333:0.648101:0.502494:0.648101:0.502494:0.632388:0.495333:0.632388:0.000000:0.000000
Tenemos lim :@0.073089:0.683813:0.174018:0.682349:0.174018:0.666637:0.073089:0.668100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.145274:0.690016:0.152182:0.690016:0.152182:0.678084:0.145274:0.678084:0.000000
0:@0.162932:0.690016:0.169465:0.690016:0.169465:0.678588:0.162932:0.678588:0.000000
f h:@0.175012:0.682349:0.196272:0.682349:0.196272:0.665943:0.175012:0.665943:0.000000:0.000000:0.000000
( )=:@0.180737:0.682932:0.219668:0.684402:0.219668:0.666748:0.180737:0.665277:0.000000:0.000000:0.000000:0.000000
h:@0.221591:0.690016:0.228498:0.690016:0.228498:0.678084:0.221591:0.678084:0.000000
0:@0.239248:0.690016:0.245781:0.690016:0.245781:0.678588:0.239248:0.678588:0.000000
lim :@0.220386:0.682349:0.250334:0.682349:0.250334:0.666637:0.220386:0.666637:0.000000:0.000000:0.000000:0.000000
( +:@0.251328:0.682932:0.281351:0.682932:0.281351:0.665277:0.251328:0.665277:0.000000:0.000000:0.000000
L:@0.257366:0.682349:0.264987:0.682349:0.264987:0.665943:0.257366:0.665943:0.000000
2:@0.282363:0.682349:0.291346:0.682349:0.291346:0.666637:0.282363:0.666637:0.000000
h:@0.292377:0.682349:0.301875:0.682349:0.301875:0.665943:0.292377:0.665943:0.000000
2:@0.302922:0.676285:0.308159:0.676285:0.308159:0.667125:0.302922:0.667125:0.000000
)=:@0.308756:0.682932:0.330936:0.684402:0.330936:0.666748:0.308756:0.665277:0.000000:0.000000
L:@0.330844:0.683819:0.338465:0.683819:0.338465:0.667413:0.330844:0.667413:0.000000
, pues si :@0.338391:0.683819:0.399467:0.683819:0.399467:0.668107:0.338391:0.668107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ϵ>:@0.399319:0.684402:0.422733:0.684402:0.422733:0.666748:0.399319:0.666748:0.000000:0.000000
0, y tomando en consideración que:@0.423746:0.683819:0.681893:0.683819:0.681893:0.668107:0.423746:0.668107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si :@0.103202:0.718323:0.117799:0.718323:0.117799:0.702611:0.103202:0.702611:0.000000:0.000000:0.000000
∙ ∙<:@0.117707:0.718906:0.153767:0.718906:0.153767:0.701252:0.117707:0.701252:0.000000:0.000000:0.000000:0.000000
h:@0.122806:0.718323:0.132304:0.718323:0.132304:0.701917:0.122806:0.701917:0.000000
1, se tiene :@0.154779:0.718323:0.232395:0.718323:0.232395:0.702611:0.154779:0.702611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.232237:0.718323:0.241735:0.718323:0.241735:0.701917:0.232237:0.701917:0.000000
2:@0.242794:0.712261:0.248031:0.712261:0.248031:0.703100:0.242794:0.703100:0.000000
≤∙ ∙:@0.248628:0.718907:0.284687:0.718907:0.284687:0.701253:0.248628:0.701253:0.000000:0.000000:0.000000:0.000000
h:@0.270072:0.718325:0.279570:0.718325:0.279570:0.701919:0.270072:0.701919:0.000000
, entonces:@0.285700:0.718325:0.360297:0.718325:0.360297:0.702612:0.285700:0.702612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d f h , L:@0.103210:0.760387:0.167507:0.760387:0.167507:0.743981:0.103210:0.743981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ( ) )= ( +:@0.113500:0.760969:0.233460:0.760969:0.233460:0.743315:0.113500:0.743315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d L:@0.192044:0.760387:0.217096:0.760387:0.217096:0.743981:0.192044:0.743981:0.000000:0.000000:0.000000
2 ,:@0.234472:0.760387:0.264091:0.760388:0.264091:0.744675:0.234472:0.744674:0.000000:0.000000:0.000000
h  L:@0.244486:0.760387:0.277087:0.760388:0.277087:0.743982:0.244486:0.743981:0.000000:0.000000:0.000000:0.000000
2:@0.255055:0.754324:0.260292:0.754324:0.260292:0.745164:0.255055:0.745164:0.000000
)=∙ +:@0.278136:0.760971:0.330707:0.760971:0.330707:0.743316:0.278136:0.743316:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.306723:0.760388:0.314343:0.760388:0.314343:0.743982:0.306723:0.743982:0.000000
2:@0.331720:0.760388:0.340702:0.760388:0.340702:0.744675:0.331720:0.744675:0.000000
h L:@0.341733:0.760388:0.375931:0.760388:0.375931:0.743982:0.341733:0.743982:0.000000:0.000000:0.000000
2:@0.352260:0.754324:0.357497:0.754324:0.357497:0.745164:0.352260:0.745164:0.000000
– ∙=:@0.358094:0.760971:0.397393:0.760971:0.397393:0.743316:0.358094:0.743316:0.000000:0.000000:0.000000:0.000000
2:@0.398406:0.760388:0.407389:0.760388:0.407389:0.744675:0.398406:0.744675:0.000000
h:@0.408419:0.760388:0.417917:0.760388:0.417917:0.743982:0.408419:0.743982:0.000000
2:@0.418955:0.754324:0.424192:0.754324:0.424192:0.745164:0.418955:0.745164:0.000000
≤ ∙ ∙ < ϵ:@0.424790:0.760971:0.507070:0.760971:0.507070:0.743316:0.424790:0.743316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.441136:0.760388:0.450118:0.760388:0.450118:0.744675:0.441136:0.744675:0.000000
h:@0.456248:0.760388:0.465746:0.760388:0.465746:0.743982:0.456248:0.743982:0.000000
   :@0.492823:0.760388:0.511010:0.760388:0.511010:0.744675:0.492823:0.744675:0.000000:0.000000:0.000000
∙ ∙<:@0.535115:0.760971:0.571175:0.760971:0.571175:0.743316:0.535115:0.743316:0.000000:0.000000:0.000000:0.000000
h:@0.540214:0.760388:0.549712:0.760388:0.549712:0.743982:0.540214:0.743982:0.000000
ϵ:@0.575224:0.755128:0.583397:0.755128:0.583397:0.737474:0.575224:0.737474:0.000000
2:@0.575228:0.767762:0.583394:0.767762:0.583394:0.753478:0.575228:0.753478:0.000000
.:@0.587545:0.760388:0.590748:0.760388:0.590748:0.744675:0.587545:0.744675:0.000000
Elegimos :@0.103214:0.798345:0.173504:0.798345:0.173504:0.782633:0.103214:0.782633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ=:@0.173382:0.798928:0.197827:0.798928:0.197827:0.781274:0.173382:0.781274:0.000000:0.000000
ε:@0.200237:0.792696:0.209440:0.792696:0.209440:0.775042:0.200237:0.775042:0.000000
2:@0.200755:0.805933:0.208921:0.805933:0.208921:0.791648:0.200755:0.791648:0.000000
. Luego 0<:@0.213483:0.798342:0.291574:0.798342:0.291574:0.782629:0.213483:0.782629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙ ∙<δ :@0.292542:0.798924:0.344432:0.798924:0.344432:0.781270:0.292542:0.781270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.297641:0.798342:0.307139:0.798342:0.307139:0.781935:0.297641:0.781935:0.000000
d f h , x:@0.368544:0.798342:0.432675:0.798342:0.432675:0.781935:0.368544:0.781935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ( ):@0.378834:0.798924:0.415501:0.798924:0.415501:0.781270:0.378834:0.781270:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.433749:0.801514:0.438986:0.801514:0.438986:0.792353:0.433749:0.792353:0.000000
)<ε:@0.439584:0.798924:0.472276:0.798924:0.472276:0.781270:0.439584:0.781270:0.000000:0.000000:0.000000
Esta última implicación significa que lim :@0.103210:0.834052:0.400501:0.832588:0.400501:0.816876:0.103210:0.818340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.371755:0.840255:0.378663:0.840255:0.378663:0.828323:0.371755:0.828323:0.000000
0:@0.389415:0.840255:0.395948:0.840255:0.395948:0.828828:0.389415:0.828828:0.000000
f h:@0.401495:0.832588:0.422755:0.832588:0.422755:0.816182:0.401495:0.816182:0.000000:0.000000:0.000000
( )=:@0.407219:0.833171:0.446151:0.834641:0.446151:0.816987:0.407219:0.815517:0.000000:0.000000:0.000000:0.000000
h:@0.448072:0.840255:0.454980:0.840255:0.454980:0.828323:0.448072:0.828323:0.000000
0:@0.465729:0.840255:0.472262:0.840255:0.472262:0.828828:0.465729:0.828828:0.000000
lim :@0.446869:0.832588:0.476817:0.832588:0.476817:0.816876:0.446869:0.816876:0.000000:0.000000:0.000000:0.000000
( +:@0.477811:0.833171:0.507834:0.833171:0.507834:0.815517:0.477811:0.815517:0.000000:0.000000:0.000000
L:@0.483849:0.832588:0.491469:0.832588:0.491469:0.816182:0.483849:0.816182:0.000000
2:@0.508846:0.832588:0.517829:0.832588:0.517829:0.816876:0.508846:0.816876:0.000000
h:@0.518859:0.832588:0.528358:0.832588:0.528358:0.816182:0.518859:0.816182:0.000000
2:@0.529405:0.826525:0.534642:0.826525:0.534642:0.817364:0.529405:0.817364:0.000000
)=:@0.535239:0.833171:0.558174:0.834641:0.558174:0.816987:0.535239:0.815517:0.000000:0.000000
L:@0.558082:0.834058:0.565703:0.834058:0.565703:0.817652:0.558082:0.817652:0.000000
En otras palabras, :@0.103220:0.868563:0.232415:0.868563:0.232415:0.852850:0.103220:0.852850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f h:@0.231850:0.868563:0.254215:0.868563:0.254215:0.852156:0.231850:0.852156:0.000000:0.000000:0.000000
( )= +:@0.237575:0.869145:0.302718:0.869145:0.302718:0.851491:0.237575:0.851491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.278734:0.868563:0.286354:0.868563:0.286354:0.852156:0.278734:0.852156:0.000000
2  se aproxima a  , conforme   se aproxima a cero, o lo que es lo mismo, la distancia :@0.303731:0.868563:0.931259:0.868564:0.931259:0.852851:0.303731:0.852850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.313744:0.868563:0.323242:0.868563:0.323242:0.852156:0.313744:0.852156:0.000000
2:@0.324280:0.862500:0.329517:0.862500:0.329517:0.853339:0.324280:0.853339:0.000000
∙ ∙:@0.436268:0.869146:0.454104:0.869146:0.454104:0.851492:0.436268:0.851492:0.000000:0.000000:0.000000
L:@0.441367:0.868564:0.448987:0.868564:0.448987:0.852158:0.441367:0.852158:0.000000
h:@0.536532:0.868564:0.546030:0.868564:0.546030:0.852158:0.536532:0.852158:0.000000
de :@0.103189:0.885206:0.126014:0.885206:0.126014:0.869493:0.103189:0.869493:0.000000:0.000000:0.000000
f h:@0.125922:0.885206:0.148286:0.885206:0.148286:0.868800:0.125922:0.868800:0.000000:0.000000:0.000000
( )= +:@0.131646:0.885788:0.196789:0.885788:0.196789:0.868134:0.131646:0.868134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.172805:0.885206:0.180425:0.885206:0.180425:0.868800:0.172805:0.868800:0.000000
2  a   es suficientemente pequeña conforme   es suficientemente pequeño.:@0.197802:0.885206:0.764561:0.885206:0.764561:0.869493:0.197802:0.869493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.207815:0.885206:0.217314:0.885206:0.217314:0.868800:0.207815:0.868800:0.000000
2:@0.218386:0.879142:0.223623:0.879142:0.223623:0.869981:0.218386:0.869981:0.000000
L:@0.240400:0.885206:0.248020:0.885206:0.248020:0.868800:0.240400:0.868800:0.000000
h:@0.538818:0.885206:0.548316:0.885206:0.548316:0.868800:0.538818:0.868800:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000