57:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Decimos que estas dos funciones son iguales. Escribimos :@0.108231:0.105105:0.528539:0.105105:0.528539:0.088607:0.108231:0.088607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f = g:@0.530564:0.105220:0.565530:0.105220:0.565530:0.088752:0.530564:0.088752:0.000000:0.000000:0.000000:0.000000:0.000000
 si y :@0.565530:0.105105:0.599900:0.105105:0.599900:0.088607:0.565530:0.088607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo si se verifica::@0.108231:0.122455:0.228308:0.122455:0.228308:0.105958:0.108231:0.105958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f  = Dom g , :@0.250698:0.147050:0.382838:0.147050:0.382838:0.130581:0.250698:0.130581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.285915:0.146934:0.302117:0.146934:0.302117:0.130437:0.285915:0.130437:0.000000:0.000000:0.000000
( ) y:@0.356502:0.146934:0.390660:0.146934:0.390660:0.130437:0.356502:0.130437:0.000000:0.000000:0.000000:0.000000:0.000000
p x  s x  = q x r x:@0.250698:0.164401:0.380565:0.164401:0.380565:0.147932:0.250698:0.147932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.259964:0.164285:0.309245:0.164285:0.309245:0.147788:0.259964:0.147788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ),          .:@0.337584:0.164285:0.468023:0.164285:0.468023:0.147787:0.337584:0.147788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.409974:0.171871:0.421546:0.171871:0.421546:0.152872:0.409974:0.152872:0.000000
x:@0.421553:0.164400:0.429028:0.164400:0.429028:0.147932:0.421553:0.147932:0.000000
:@0.433169:0.163766:0.447822:0.163766:0.447822:0.150393:0.433169:0.150393:0.000000
:@0.451964:0.163198:0.465269:0.163198:0.465269:0.150335:0.451964:0.150335:0.000000
Tenemos la siguiente equivalencia::@0.108226:0.198986:0.350621:0.198986:0.350621:0.182488:0.108226:0.182488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f = g   f x:@0.191490:0.223581:0.267551:0.223581:0.267551:0.207113:0.191490:0.207112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.226538:0.222821:0.245740:0.222821:0.245740:0.205879:0.226538:0.205879:0.000000
( ) =  ( ),       :@0.254123:0.223466:0.366072:0.223466:0.366072:0.206968:0.254123:0.206968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.292596:0.223581:0.313460:0.223581:0.313460:0.207113:0.292596:0.207113:0.000000:0.000000:0.000000
∀:@0.342875:0.231052:0.354448:0.231052:0.354448:0.212053:0.342875:0.212053:0.000000
x:@0.354455:0.223581:0.361930:0.223581:0.361930:0.207113:0.354455:0.207113:0.000000
 :@0.366073:0.222947:0.385123:0.222947:0.385123:0.209574:0.366073:0.209574:0.000000:0.000000
Dom(f  = Dom g:@0.385122:0.223581:0.503796:0.223581:0.503796:0.207113:0.385122:0.207113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.430068:0.223466:0.436021:0.223466:0.436021:0.206968:0.430068:0.206968:0.000000
( ).:@0.490406:0.223466:0.512504:0.223466:0.512504:0.206968:0.490406:0.206968:0.000000:0.000000:0.000000:0.000000
 :@0.108241:0.240817:0.112383:0.240817:0.112383:0.224319:0.108241:0.224319:0.000000
Ejercicio resuelto:@0.108241:0.258543:0.226220:0.258543:0.226220:0.241756:0.108241:0.241756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos las funciones racionales  ,   definidas como sigue::@0.108241:0.275518:0.560524:0.275518:0.560524:0.259020:0.108241:0.259020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.384655:0.275634:0.403285:0.275634:0.403285:0.259165:0.384655:0.259165:0.000000:0.000000:0.000000
 :@0.108241:0.310220:0.112383:0.310220:0.112383:0.293722:0.108241:0.293722:0.000000
f x:@0.131976:0.310335:0.149700:0.310335:0.149700:0.293866:0.131976:0.293866:0.000000:0.000000:0.000000
( ) =            ,     ( ) =                    ,     :@0.136272:0.310220:0.390515:0.310220:0.390515:0.293722:0.136272:0.293722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.239630:0.310335:0.260495:0.310335:0.260495:0.293866:0.239630:0.293866:0.000000:0.000000:0.000000
x:@0.378898:0.310335:0.386373:0.310335:0.386373:0.293866:0.378898:0.293866:0.000000
:@0.390515:0.310003:0.406563:0.310003:0.406563:0.295356:0.390515:0.295356:0.000000
 :@0.406558:0.309701:0.410956:0.309701:0.410956:0.296328:0.406558:0.296328:0.000000
:@0.410956:0.309133:0.424260:0.309133:0.424260:0.296270:0.410956:0.296270:0.000000
.:@0.424259:0.310220:0.427014:0.310220:0.427014:0.293722:0.424259:0.293722:0.000000
Puesto que   + 1 > 0,      :@0.108231:0.344921:0.301751:0.344921:0.301751:0.328423:0.108231:0.328423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.191629:0.345037:0.199104:0.345037:0.199104:0.328568:0.191629:0.328568:0.000000
2:@0.199105:0.338568:0.204058:0.338568:0.204058:0.328950:0.199105:0.328950:0.000000
∀:@0.278555:0.352507:0.290127:0.352507:0.290127:0.333508:0.278555:0.333508:0.000000
x:@0.290134:0.345037:0.297609:0.345037:0.297609:0.328568:0.290134:0.328568:0.000000
 :@0.301752:0.344402:0.320802:0.344402:0.320802:0.331029:0.301752:0.331029:0.000000:0.000000
:@0.320801:0.343834:0.334106:0.343834:0.334106:0.330972:0.320801:0.330972:0.000000
, tenemos :@0.334106:0.344921:0.407369:0.344921:0.407369:0.328423:0.334106:0.328423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f  = :@0.407370:0.345037:0.477959:0.345037:0.477959:0.328568:0.407370:0.328568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.442588:0.344921:0.458790:0.344921:0.458790:0.328423:0.442588:0.328423:0.000000:0.000000:0.000000
:@0.477957:0.343834:0.491262:0.343834:0.491262:0.330972:0.477957:0.330972:0.000000
,:@0.491262:0.344921:0.494016:0.344921:0.494016:0.328423:0.491262:0.328423:0.000000
Dom g  = :@0.108230:0.362387:0.181958:0.362387:0.181958:0.345919:0.108230:0.345919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.143447:0.362272:0.162789:0.362272:0.162789:0.345774:0.143447:0.345774:0.000000:0.000000:0.000000
:@0.181957:0.361185:0.195262:0.361185:0.195262:0.348323:0.181957:0.348323:0.000000
. Además, para todo   :@0.195262:0.362272:0.354815:0.362272:0.354815:0.345774:0.195262:0.345774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.198017:0.361303:0.202833:0.361303:0.202833:0.347856:0.198017:0.347856:0.000000
x:@0.343198:0.362387:0.350673:0.362387:0.350673:0.345919:0.343198:0.345919:0.000000
:@0.354815:0.362055:0.370863:0.362055:0.370863:0.347408:0.354815:0.347408:0.000000
 :@0.370862:0.361753:0.375260:0.361753:0.375260:0.348380:0.370862:0.348380:0.000000
:@0.375260:0.361303:0.389169:0.361303:0.389169:0.347856:0.375260:0.347856:0.000000
 se tiene::@0.389169:0.362272:0.450336:0.362272:0.450336:0.345774:0.389169:0.345774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(   1)  = (   1)(  + 1)  Luego,:@0.233544:0.396973:0.470452:0.396973:0.470452:0.380476:0.233544:0.380476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x + :@0.239497:0.397089:0.271092:0.397089:0.271092:0.380620:0.239497:0.380620:0.000000:0.000000:0.000000:0.000000
2:@0.246971:0.390620:0.251925:0.390620:0.251925:0.381002:0.246971:0.381002:0.000000
3:@0.284577:0.390620:0.289530:0.390620:0.289530:0.381002:0.284577:0.381002:0.000000
x + :@0.314576:0.397089:0.346172:0.397089:0.346172:0.380620:0.314576:0.380620:0.000000:0.000000:0.000000:0.000000
2:@0.322051:0.390620:0.327004:0.390620:0.327004:0.381002:0.322051:0.381002:0.000000
x:@0.366573:0.397089:0.374048:0.397089:0.374048:0.380620:0.366573:0.380620:0.000000
2:@0.374048:0.390620:0.379002:0.390620:0.379002:0.381002:0.374048:0.381002:0.000000
2:@0.412540:0.390620:0.417494:0.390620:0.417494:0.381002:0.412540:0.381002:0.000000
.:@0.417494:0.397089:0.420345:0.397089:0.420345:0.380620:0.417494:0.380620:0.000000
  ( ) =                      =                             =             =  ( ),     :@0.108229:0.431675:0.517843:0.431675:0.517843:0.415177:0.108229:0.415177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.112371:0.431790:0.133235:0.431790:0.133235:0.415322:0.112371:0.415322:0.000000:0.000000:0.000000
f x:@0.455793:0.431790:0.473517:0.431790:0.473517:0.415322:0.455793:0.415322:0.000000:0.000000:0.000000
∀:@0.494646:0.439261:0.506218:0.439261:0.506218:0.420262:0.494646:0.420262:0.000000
x:@0.506226:0.431790:0.513701:0.431790:0.513701:0.415322:0.506226:0.415322:0.000000
 :@0.517843:0.431156:0.536893:0.431156:0.536893:0.417783:0.517843:0.417783:0.000000:0.000000
:@0.536892:0.430588:0.550196:0.430588:0.550196:0.417726:0.536892:0.417726:0.000000
,:@0.550196:0.431675:0.552951:0.431675:0.552951:0.415177:0.550196:0.415177:0.000000
 :@0.108232:0.449026:0.112374:0.449026:0.112374:0.432528:0.108232:0.432528:0.000000
en la que se ha simplificado el término (  + 1) .:@0.108232:0.466376:0.445121:0.466376:0.445121:0.449879:0.108232:0.449879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391447:0.466492:0.398922:0.466492:0.398922:0.450023:0.391447:0.450023:0.000000
2:@0.398921:0.460023:0.403874:0.460023:0.403874:0.450405:0.398921:0.450405:0.000000
2:@0.437413:0.460023:0.442366:0.460023:0.442366:0.450405:0.437413:0.450405:0.000000
Así, :@0.108230:0.501078:0.137340:0.501078:0.137340:0.484580:0.108230:0.484580:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f  = Dom g  = :@0.137340:0.501193:0.281656:0.501193:0.281656:0.484725:0.137340:0.484725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.172556:0.501078:0.188758:0.501078:0.188758:0.484580:0.172556:0.484580:0.000000:0.000000:0.000000
( ):@0.243144:0.501078:0.262487:0.501078:0.262487:0.484580:0.243144:0.484580:0.000000:0.000000:0.000000
:@0.281656:0.500109:0.295565:0.500109:0.295565:0.486662:0.281656:0.486662:0.000000
,  y,   ( ) =  ( ),    :@0.295565:0.501078:0.428511:0.501078:0.428511:0.484580:0.295565:0.484580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.324694:0.501193:0.342418:0.501193:0.342418:0.484725:0.324694:0.484725:0.000000:0.000000:0.000000
g x:@0.367463:0.501193:0.388327:0.501193:0.388327:0.484725:0.367463:0.484725:0.000000:0.000000:0.000000
∀:@0.405313:0.508664:0.416886:0.508664:0.416886:0.489665:0.405313:0.489665:0.000000
x:@0.416894:0.501193:0.424369:0.501193:0.424369:0.484725:0.416894:0.484725:0.000000
 :@0.428510:0.500559:0.447560:0.500559:0.447560:0.487186:0.428510:0.487186:0.000000:0.000000
:@0.447560:0.499991:0.460864:0.499991:0.460864:0.487129:0.447560:0.487129:0.000000
, o sea :@0.460864:0.501078:0.507929:0.501078:0.507929:0.484580:0.460864:0.484580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f = g.:@0.507929:0.501193:0.541798:0.501193:0.541798:0.484725:0.507929:0.484725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si ponemos  ( ) = 2 ,   ( ) =   + 1,:@0.108233:0.535779:0.361334:0.535779:0.361334:0.519282:0.108233:0.519282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.196177:0.535895:0.218872:0.535895:0.218872:0.519426:0.196177:0.519426:0.000000:0.000000:0.000000
x q x:@0.252412:0.535895:0.293524:0.535895:0.293524:0.519426:0.252412:0.519426:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.318569:0.535895:0.326044:0.535895:0.326044:0.519426:0.318569:0.519426:0.000000
2:@0.326039:0.529426:0.330993:0.529426:0.330993:0.519808:0.326039:0.519808:0.000000
r x:@0.108227:0.553246:0.127685:0.553246:0.127685:0.536777:0.108227:0.536777:0.000000:0.000000:0.000000
( ) = 2 (  + 1) ,   ( ) = (x  + 1) , entonces,:@0.114257:0.553130:0.413471:0.553130:0.413471:0.536632:0.114257:0.536632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.161226:0.553246:0.182129:0.553246:0.182129:0.536777:0.161226:0.536777:0.000000:0.000000:0.000000
2:@0.182130:0.546777:0.187083:0.546777:0.187083:0.537159:0.182130:0.537159:0.000000
2:@0.220623:0.546777:0.225576:0.546777:0.225576:0.537159:0.220623:0.537159:0.000000
s x:@0.236616:0.553246:0.256421:0.553246:0.256421:0.536777:0.236616:0.536777:0.000000:0.000000:0.000000
2:@0.295411:0.546777:0.300364:0.546777:0.300364:0.537159:0.295411:0.537159:0.000000
3:@0.333905:0.546777:0.338858:0.546777:0.338858:0.537159:0.333905:0.537159:0.000000
f x:@0.108234:0.587947:0.125958:0.587947:0.125958:0.571479:0.108234:0.571479:0.000000:0.000000:0.000000
( ) =           ,     ( ) =:@0.112530:0.587832:0.253513:0.587832:0.253513:0.571334:0.112530:0.571334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.211746:0.587947:0.232610:0.587947:0.232610:0.571479:0.211746:0.571479:0.000000:0.000000:0.000000
 :@0.108234:0.605182:0.112376:0.605182:0.112376:0.588685:0.108234:0.588685:0.000000
y, en consecuencia,  ( ) =  ( ) si y solo si se verifica:@0.108234:0.622533:0.464098:0.622533:0.464098:0.606035:0.108234:0.606035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.247077:0.622649:0.264801:0.622649:0.264801:0.606180:0.247077:0.606180:0.000000:0.000000:0.000000
g x:@0.289846:0.622649:0.310710:0.622649:0.310710:0.606180:0.289846:0.606180:0.000000:0.000000:0.000000
p x s x:@0.108234:0.640000:0.160828:0.640000:0.160828:0.623531:0.108234:0.623531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ) =  ( )  ( ) = 2 (  + 1) ,     :@0.117500:0.639884:0.374284:0.639884:0.374284:0.623386:0.117500:0.623386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x r x:@0.185873:0.640000:0.238024:0.640000:0.238024:0.623531:0.185873:0.623531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.271565:0.640000:0.292468:0.640000:0.292468:0.623531:0.271565:0.623531:0.000000:0.000000:0.000000
2:@0.292459:0.633531:0.297412:0.633531:0.297412:0.623913:0.292459:0.623913:0.000000
3:@0.330953:0.633531:0.335906:0.633531:0.335906:0.623913:0.330953:0.623913:0.000000
∀:@0.351086:0.647470:0.362658:0.647470:0.362658:0.628471:0.351086:0.628471:0.000000
x:@0.362667:0.640000:0.370142:0.640000:0.370142:0.623531:0.362667:0.623531:0.000000
 :@0.374283:0.639365:0.393333:0.639365:0.393333:0.625992:0.374283:0.625992:0.000000:0.000000
:@0.393334:0.638797:0.406638:0.638797:0.406638:0.625935:0.393334:0.625935:0.000000
.:@0.406637:0.639884:0.409392:0.639884:0.409392:0.623386:0.406637:0.623386:0.000000
De este resultado, se sigue que  ( ) =  ( ),     :@0.108237:0.674585:0.436410:0.674585:0.436410:0.658088:0.108237:0.658088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.328456:0.674701:0.346180:0.674701:0.346180:0.658232:0.328456:0.658232:0.000000:0.000000:0.000000
g x:@0.371225:0.674701:0.392090:0.674701:0.392090:0.658232:0.371225:0.658232:0.000000:0.000000:0.000000
∀:@0.413212:0.682172:0.424785:0.682172:0.424785:0.663173:0.413212:0.663173:0.000000
x:@0.424793:0.674701:0.432268:0.674701:0.432268:0.658232:0.424793:0.658232:0.000000
 :@0.436409:0.674067:0.455459:0.674067:0.455459:0.660693:0.436409:0.660693:0.000000:0.000000
:@0.455458:0.673498:0.468763:0.673498:0.468763:0.660636:0.455458:0.660636:0.000000
, o sea, :@0.468763:0.674585:0.519024:0.674585:0.519024:0.658088:0.468763:0.658088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f = g.:@0.519024:0.674701:0.552892:0.674701:0.552892:0.658232:0.519024:0.658232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.552892:0.674585:0.557035:0.674585:0.557035:0.658088:0.552892:0.658088:0.000000
Asíntotas:@0.108231:0.710684:0.185102:0.710684:0.185102:0.693002:0.108231:0.693002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Significado de :@0.108231:0.727609:0.215885:0.727609:0.215885:0.710894:0.108231:0.710894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.215885:0.727768:0.227964:0.727768:0.227964:0.710981:0.215885:0.710981:0.000000:0.000000
→:@0.227964:0.735491:0.244109:0.735491:0.244109:0.715628:0.227964:0.715628:0.000000
 0,       ,      :@0.244109:0.727609:0.360319:0.727609:0.360319:0.710894:0.244109:0.710894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.268633:0.727768:0.276397:0.727768:0.276397:0.710981:0.268633:0.710981:0.000000
→:@0.280482:0.735491:0.296626:0.735491:0.296626:0.715628:0.280482:0.715628:0.000000
x:@0.300710:0.727768:0.308474:0.727768:0.308474:0.710981:0.300710:0.710981:0.000000
0:@0.308466:0.730795:0.313666:0.730795:0.313666:0.721051:0.308466:0.721051:0.000000
+:@0.310297:0.721169:0.316721:0.721169:0.316721:0.711424:0.310297:0.711424:0.000000
x:@0.328242:0.727768:0.336006:0.727768:0.336006:0.710981:0.328242:0.710981:0.000000
→:@0.340090:0.735491:0.356235:0.735491:0.356235:0.715628:0.340090:0.715628:0.000000
x:@0.360319:0.727768:0.368083:0.727768:0.368083:0.710981:0.360319:0.710981:0.000000
0:@0.368079:0.730795:0.373280:0.730795:0.373280:0.721051:0.368079:0.721051:0.000000
–:@0.370472:0.721169:0.376615:0.721169:0.376615:0.711424:0.370472:0.711424:0.000000
Para introducir los términos ‘pequeño’ y ‘suficientemente pequeño’, :@0.108231:0.762094:0.599938:0.762094:0.599938:0.745596:0.108231:0.745596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizaremos las relaciones de orden “menor que <” y “mayor que >” :@0.108231:0.779444:0.599955:0.779444:0.599955:0.762947:0.108231:0.762947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el siguiente sentido: sea 0 <  < 1 , diremos que   :@0.108231:0.796795:0.475095:0.796795:0.475095:0.780297:0.108231:0.780297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ:@0.324131:0.804381:0.333806:0.804381:0.333806:0.785382:0.324131:0.785382:0.000000
 :@0.333804:0.796578:0.338620:0.796578:0.338620:0.781931:0.333804:0.781931:0.000000
x:@0.463479:0.796911:0.470953:0.796911:0.470953:0.780442:0.463479:0.780442:0.000000
 :@0.474691:0.796578:0.495555:0.796578:0.495555:0.781931:0.474691:0.781931:0.000000:0.000000
:@0.495093:0.795826:0.509002:0.795826:0.509002:0.782379:0.495093:0.782379:0.000000
 con   ≠ 0 es :@0.509002:0.796795:0.599934:0.796795:0.599934:0.780297:0.509002:0.780297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  :@0.543429:0.796911:0.569592:0.796911:0.569592:0.780442:0.543429:0.780442:0.000000:0.000000:0.000000
pequeño con respecto de   si se verifica | | <  .:@0.108266:0.814146:0.445639:0.814146:0.445639:0.797648:0.108266:0.797648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ:@0.295255:0.821732:0.304930:0.821732:0.304930:0.802733:0.295255:0.802733:0.000000
x:@0.401640:0.814261:0.409114:0.814261:0.409114:0.797793:0.401640:0.797793:0.000000
δ:@0.433211:0.821732:0.442886:0.821732:0.442886:0.802733:0.433211:0.802733:0.000000
Sea :@0.108227:0.848847:0.136489:0.848847:0.136489:0.832350:0.108227:0.832350:0.000000:0.000000:0.000000:0.000000
x  :@0.137742:0.848963:0.154306:0.848963:0.154306:0.832494:0.137742:0.832494:0.000000:0.000000:0.000000
0:@0.145211:0.852124:0.150164:0.852124:0.150164:0.842506:0.145211:0.842506:0.000000
:@0.155559:0.848630:0.171607:0.848630:0.171607:0.833983:0.155559:0.833983:0.000000
   fijo. Dado       con   ≠ , por la propiedad de trico-:@0.171607:0.848847:0.595781:0.848847:0.595781:0.832350:0.171607:0.832350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.177001:0.847879:0.190910:0.847879:0.190910:0.834432:0.177001:0.834432:0.000000
x:@0.271659:0.848963:0.279134:0.848963:0.279134:0.832494:0.271659:0.832494:0.000000
:@0.284501:0.848630:0.300549:0.848630:0.300549:0.833983:0.284501:0.833983:0.000000
:@0.305943:0.847879:0.319853:0.847879:0.319853:0.834432:0.305943:0.834432:0.000000
x  x:@0.357584:0.848963:0.394120:0.848963:0.394120:0.832494:0.357584:0.832494:0.000000:0.000000:0.000000:0.000000
0:@0.394083:0.852124:0.399036:0.852124:0.399036:0.842506:0.394083:0.842506:0.000000
toma, se verifica una y solo una de las dos condiciones siguientes: :@0.108226:0.866198:0.599985:0.866198:0.599985:0.849700:0.108226:0.849700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  x x x:@0.108226:0.883664:0.192305:0.883664:0.192305:0.867196:0.108226:0.867196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
<   ,   >  .:@0.119842:0.883549:0.200012:0.883549:0.200012:0.867051:0.119842:0.867051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.142272:0.886825:0.147225:0.886825:0.147225:0.877207:0.142272:0.877207:0.000000
0:@0.192305:0.886825:0.197258:0.886825:0.197258:0.877207:0.192305:0.877207:0.000000
Consideremos el caso   >  . Se tiene  ( ,  ) = |  –  | =   –   > 0.:@0.108232:0.918250:0.576164:0.918250:0.576164:0.901752:0.108232:0.901753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.266302:0.918366:0.300343:0.918366:0.300343:0.901897:0.266302:0.901897:0.000000:0.000000:0.000000
0:@0.300339:0.921527:0.305293:0.921527:0.305293:0.911909:0.300339:0.911909:0.000000
d x x:@0.372373:0.918365:0.414296:0.918365:0.414296:0.901897:0.372373:0.901897:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.394972:0.921527:0.399925:0.921527:0.399925:0.911909:0.394972:0.911909:0.000000
x:@0.444350:0.918365:0.451825:0.918365:0.451825:0.901897:0.444350:0.901897:0.000000
0:@0.451823:0.921527:0.456776:0.921527:0.456776:0.911909:0.451823:0.911909:0.000000
x:@0.475560:0.918365:0.483035:0.918365:0.483035:0.901897:0.475560:0.901897:0.000000
x x:@0.507136:0.918365:0.540870:0.918365:0.540870:0.901897:0.507136:0.901897:0.000000:0.000000:0.000000
0:@0.540867:0.921527:0.545820:0.921527:0.545820:0.911909:0.540867:0.911909:0.000000
2:@0.188688:0.304481:0.197184:0.304481:0.197184:0.287984:0.188688:0.287984:0.000000
x:@0.197184:0.304597:0.204659:0.304597:0.204659:0.288128:0.197184:0.288128:0.000000
x  + 1:@0.177090:0.320936:0.216276:0.320942:0.216276:0.304473:0.177090:0.304467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.184560:0.314541:0.189266:0.314541:0.189266:0.304939:0.184560:0.304939:0.000000
p x:@0.155614:0.581957:0.178308:0.581957:0.178308:0.565489:0.155614:0.565489:0.000000:0.000000:0.000000
( ):@0.164880:0.581842:0.184261:0.581842:0.184261:0.565344:0.164880:0.565344:0.000000:0.000000:0.000000
q x:@0.155672:0.598296:0.178270:0.598296:0.178270:0.581827:0.155672:0.581827:0.000000:0.000000:0.000000
( ):@0.164842:0.598180:0.184223:0.598180:0.184223:0.581683:0.164842:0.581683:0.000000:0.000000:0.000000
r x:@0.260953:0.581957:0.280411:0.581957:0.280411:0.565489:0.260953:0.565489:0.000000:0.000000:0.000000
( ):@0.266983:0.581842:0.286364:0.581842:0.286364:0.565344:0.266983:0.565344:0.000000:0.000000:0.000000
s x:@0.260780:0.598296:0.280584:0.598296:0.280584:0.581827:0.260780:0.581827:0.000000:0.000000:0.000000
( ):@0.267156:0.598180:0.286537:0.598180:0.286537:0.581683:0.267156:0.581683:0.000000:0.000000:0.000000
2:@0.405598:0.425706:0.414094:0.425706:0.414094:0.409209:0.405598:0.409209:0.000000
x:@0.414094:0.425822:0.421569:0.425822:0.421569:0.409353:0.414094:0.409353:0.000000
x:@0.393577:0.442161:0.401052:0.442161:0.401052:0.425692:0.393577:0.425692:0.000000
2:@0.401052:0.435700:0.406005:0.435700:0.406005:0.426081:0.401052:0.426081:0.000000
 + 1:@0.406005:0.442051:0.433593:0.442051:0.433593:0.425554:0.406005:0.425554:0.000000:0.000000:0.000000:0.000000
2 (:@0.287313:0.304481:0.309237:0.304481:0.309237:0.287984:0.287313:0.287984:0.000000:0.000000:0.000000
x x  + :@0.295809:0.304597:0.340585:0.304597:0.340585:0.288128:0.295809:0.288128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.316710:0.298196:0.321416:0.298196:0.321416:0.288594:0.316710:0.288594:0.000000
1):@0.338658:0.304481:0.353107:0.304481:0.353107:0.287984:0.338658:0.287984:0.000000:0.000000
2:@0.353106:0.298128:0.358059:0.298128:0.358059:0.288510:0.353106:0.288510:0.000000
(:@0.294334:0.320826:0.300287:0.320826:0.300287:0.304328:0.294334:0.304328:0.000000
x  + :@0.300287:0.320942:0.331637:0.320942:0.331637:0.304473:0.300287:0.304473:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.307761:0.314541:0.312467:0.314541:0.312467:0.304939:0.307761:0.304939:0.000000
1):@0.331637:0.320826:0.346086:0.320826:0.346086:0.304328:0.331637:0.304328:0.000000:0.000000
3:@0.346085:0.314473:0.351038:0.314473:0.351038:0.304855:0.346085:0.304855:0.000000
2 (  + 1):@0.163325:0.425706:0.231217:0.425706:0.231217:0.409209:0.163325:0.409209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.171821:0.425822:0.192724:0.425822:0.192724:0.409353:0.171821:0.409353:0.000000:0.000000:0.000000
2:@0.192724:0.419355:0.197677:0.419355:0.197677:0.409737:0.192724:0.409737:0.000000
2:@0.231216:0.419355:0.236169:0.419355:0.236169:0.409737:0.231216:0.409737:0.000000
(  + 1):@0.171311:0.442051:0.223232:0.442051:0.223232:0.425554:0.171311:0.425554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.177264:0.442167:0.184739:0.442167:0.184739:0.425698:0.177264:0.425698:0.000000
2:@0.184738:0.435700:0.189691:0.435700:0.189691:0.426081:0.184738:0.426081:0.000000
3:@0.223232:0.435700:0.228185:0.435700:0.228185:0.426081:0.223232:0.426081:0.000000
2 (  + 1):@0.279840:0.425706:0.347731:0.425706:0.347731:0.409209:0.279840:0.409209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.288336:0.425822:0.309238:0.425822:0.309238:0.409353:0.288336:0.409353:0.000000:0.000000:0.000000
2:@0.309238:0.419355:0.314192:0.419355:0.314192:0.409737:0.309238:0.409737:0.000000
2:@0.347730:0.419355:0.352684:0.419355:0.352684:0.409737:0.347730:0.409737:0.000000
(  + 1)(  + 1):@0.261864:0.442051:0.365707:0.442051:0.365707:0.425554:0.261864:0.425554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.267817:0.442167:0.275292:0.442167:0.275292:0.425698:0.267817:0.425698:0.000000
2:@0.275293:0.435700:0.280246:0.435700:0.280246:0.426081:0.275293:0.426081:0.000000
x:@0.319739:0.442167:0.327214:0.442167:0.327214:0.425698:0.319739:0.425698:0.000000
2:@0.327214:0.435700:0.332167:0.435700:0.332167:0.426081:0.327214:0.426081:0.000000
2:@0.365706:0.435700:0.370659:0.435700:0.370659:0.426081:0.365706:0.426081:0.000000
Competencia digital:@0.684802:0.584121:0.827154:0.584121:0.827154:0.568649:0.684802:0.568649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Visita:@0.685038:0.613171:0.725001:0.613171:0.725001:0.597699:0.685038:0.597699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 esta página para :@0.725003:0.612749:0.837630:0.612749:0.837630:0.597686:0.725003:0.597686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer más sobre funciones :@0.638495:0.628591:0.832369:0.628591:0.832369:0.613528:0.638495:0.613528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales y el cálculo de las :@0.638495:0.644433:0.822379:0.644433:0.822379:0.629370:0.638495:0.629370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntotas. :@0.638495:0.660275:0.703066:0.660275:0.703066:0.645212:0.638495:0.645212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/12m03:@0.703066:0.660605:0.800955:0.660605:0.800955:0.645291:0.703066:0.645291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684802:0.104916:0.782425:0.104916:0.782425:0.089444:0.684802:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684802:0.117484:0.796761:0.117484:0.796761:0.102012:0.684802:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La palabra ‘racional’ :@0.678230:0.141957:0.808869:0.141957:0.808869:0.126894:0.678230:0.126894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hace referencia a una razón o :@0.638494:0.157799:0.831210:0.157799:0.831210:0.142736:0.638494:0.142736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cociente (de dos polinomios); :@0.638494:0.173641:0.836027:0.173641:0.836027:0.158578:0.638494:0.158578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los coeficientes de los poli-:@0.638494:0.189483:0.812685:0.189483:0.812685:0.174420:0.638494:0.174420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nomios pueden ser números :@0.638494:0.205325:0.829045:0.205325:0.829045:0.190262:0.638494:0.190262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales o no.:@0.638494:0.221167:0.739070:0.221167:0.739070:0.206104:0.638494:0.206104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si un punto ( ,  ) se desplaza :@0.638494:0.244138:0.829942:0.244138:0.829942:0.229075:0.638494:0.229075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.724017:0.244244:0.744157:0.244244:0.744157:0.229207:0.724017:0.229207:0.000000:0.000000:0.000000
continuamente por el gráfico :@0.638494:0.259980:0.831772:0.259980:0.831772:0.244917:0.638494:0.244917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función dada como :@0.638494:0.275822:0.798739:0.275822:0.798739:0.260759:0.638494:0.260759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = f x:@0.638494:0.291770:0.679197:0.291770:0.679197:0.276733:0.638494:0.276733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ), de tal forma que, por lo :@0.666937:0.291664:0.847866:0.291664:0.847866:0.276601:0.666937:0.276601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menos, una de sus coordenadas :@0.638494:0.307506:0.848955:0.307506:0.848955:0.292443:0.638494:0.292443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienda al infinito, mientras que :@0.638494:0.323348:0.839617:0.323348:0.839617:0.308285:0.638494:0.308285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distancia entre ese punto y :@0.638494:0.339190:0.830910:0.339190:0.830910:0.324127:0.638494:0.324127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una recta determinada tiende a :@0.638494:0.355032:0.846317:0.355032:0.846317:0.339969:0.638494:0.339969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cero, esta recta recibe el nom-:@0.638494:0.370874:0.832669:0.370874:0.832669:0.355811:0.638494:0.355811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bre de asíntota de la función.:@0.638494:0.386716:0.826440:0.386716:0.826440:0.371653:0.638494:0.371653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las asíntotas son verticales si :@0.638494:0.409687:0.828955:0.409687:0.828955:0.394624:0.638494:0.394624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son paralelas al eje  ; horizon-:@0.638494:0.425529:0.832213:0.425529:0.832213:0.410466:0.638494:0.410466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.761552:0.425635:0.770805:0.425635:0.770805:0.410598:0.761552:0.410598:0.000000
tales si son paralelas al eje  ; y :@0.638494:0.441371:0.834252:0.441371:0.834252:0.426308:0.638494:0.426308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.807937:0.441477:0.817031:0.441477:0.817031:0.426440:0.807937:0.426440:0.000000
oblicuas si son inclinadas.:@0.638494:0.457213:0.802766:0.457213:0.802766:0.442150:0.638494:0.442150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000