42:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.5 Funciones racionales:@0.073089:0.136479:0.264834:0.136479:0.264834:0.119532:0.073089:0.119532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función de la forma :@0.073089:0.169202:0.252064:0.169202:0.252064:0.153489:0.073089:0.153489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.073089:0.205370:0.089968:0.205370:0.089968:0.189935:0.073089:0.189935:0.000000:0.000000:0.000000
( )   :@0.077709:0.205370:0.117911:0.205370:0.117911:0.189658:0.077709:0.189658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.098638:0.204816:0.113971:0.204816:0.113971:0.191100:0.098638:0.191100:0.000000
P x:@0.124111:0.198617:0.143288:0.198617:0.143288:0.184584:0.124111:0.184584:0.000000:0.000000:0.000000
( ):@0.132076:0.198617:0.147723:0.198617:0.147723:0.184332:0.132076:0.184332:0.000000:0.000000:0.000000
Q  x:@0.121199:0.215006:0.146217:0.215006:0.146217:0.200974:0.121199:0.200974:0.000000:0.000000:0.000000:0.000000
( ):@0.135005:0.215006:0.150651:0.215006:0.150651:0.200722:0.135005:0.200722:0.000000:0.000000:0.000000
 :@0.150642:0.215479:0.154857:0.215479:0.154857:0.199052:0.150642:0.199052:0.000000
,  (x)   0  :@0.153912:0.205377:0.230247:0.205377:0.230247:0.189664:0.153912:0.189664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.160981:0.205377:0.172853:0.205377:0.172853:0.189941:0.160981:0.189941:0.000000
?:@0.194132:0.205917:0.209465:0.205917:0.209465:0.190746:0.194132:0.190746:0.000000
donde  ( ):@0.253808:0.205377:0.331726:0.205377:0.331726:0.189664:0.253808:0.189664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x  y Q x:@0.305975:0.205377:0.369608:0.205377:0.369608:0.189941:0.305975:0.189941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  :@0.357349:0.205377:0.382475:0.205377:0.382475:0.189664:0.357349:0.189664:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.222018:0.077120:0.222018:0.077120:0.206306:0.073089:0.206306:0.000000
 :@0.133330:0.222018:0.137361:0.222018:0.137361:0.206306:0.133330:0.206306:0.000000
        :@0.193565:0.222018:0.225299:0.222018:0.225299:0.206306:0.193565:0.206306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son funciones polinomiales o polinómicas que no tienen factores en común. :@0.253812:0.222018:0.813333:0.222018:0.813333:0.206306:0.253812:0.206306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio de una función racional es el conjunto de los números reales, excepto en los ceros del polinomio del :@0.073089:0.254742:0.930576:0.254742:0.930576:0.239030:0.073089:0.239030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador. Además, debemos tener especial cuidado al hacer tabulaciones cercanas a estos valores.:@0.073089:0.271384:0.819667:0.271384:0.819667:0.255672:0.073089:0.255672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073089:0.309230:0.148872:0.309230:0.148872:0.292561:0.073089:0.292561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: grafiquemos la función  ( )  :@0.148761:0.309230:0.372207:0.309230:0.372207:0.293518:0.148761:0.293518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x:@0.327256:0.309230:0.348204:0.309230:0.348204:0.293795:0.327256:0.293795:0.000000:0.000000:0.000000
5:@0.352934:0.308676:0.368268:0.308676:0.368268:0.294960:0.352934:0.294960:0.000000
1:@0.391957:0.300799:0.400123:0.300799:0.400123:0.286514:0.391957:0.286514:0.000000
x   :@0.378586:0.317188:0.405327:0.317188:0.405327:0.303156:0.378586:0.303156:0.000000:0.000000:0.000000:0.000000
2:@0.388375:0.316684:0.402315:0.316684:0.402315:0.304215:0.388375:0.304215:0.000000
1:@0.405327:0.317188:0.413493:0.317188:0.413493:0.302904:0.405327:0.302904:0.000000
 :@0.413493:0.317661:0.417707:0.317661:0.417707:0.301234:0.413493:0.301234:0.000000
.:@0.419884:0.309234:0.423087:0.309234:0.423087:0.293522:0.419884:0.293522:0.000000
Determinemos el dominio. El cero del polinomio del denominador     1 es 1, entonces el          1 , lo que significa :@0.073091:0.341963:0.930604:0.341963:0.930604:0.326251:0.073091:0.326251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.558435:0.341963:0.565890:0.341963:0.565890:0.326528:0.558435:0.326528:0.000000
2:@0.569590:0.341408:0.584923:0.341408:0.584923:0.327693:0.569590:0.327693:0.000000
D:@0.724064:0.341963:0.735586:0.341963:0.735586:0.326528:0.724064:0.326528:0.000000
5:@0.739286:0.341408:0.754620:0.341408:0.754620:0.327693:0.739286:0.327693:0.000000
R:@0.758301:0.341103:0.771591:0.341103:0.771591:0.328206:0.758301:0.328206:0.000000
2:@0.775273:0.341408:0.790606:0.341408:0.790606:0.327693:0.775273:0.327693:0.000000
H J:@0.794287:0.342546:0.811277:0.342546:0.811277:0.324891:0.794287:0.324891:0.000000:0.000000:0.000000
que la función no está definida en     1.:@0.073109:0.358605:0.366245:0.358605:0.366245:0.342892:0.073109:0.342892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.323595:0.358605:0.331050:0.358605:0.331050:0.343170:0.323595:0.343170:0.000000
5:@0.334934:0.358050:0.350267:0.358050:0.350267:0.344335:0.334934:0.344335:0.000000
Para identificar el conjunto de las imágenes, despejamos a   de la función: :@0.073109:0.394662:0.611172:0.394662:0.611172:0.378950:0.073109:0.378950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.498188:0.394662:0.505643:0.394662:0.505643:0.379227:0.498188:0.379227:0.000000
y :@0.610988:0.394662:0.621701:0.394662:0.621701:0.379227:0.610988:0.379227:0.000000:0.000000
5:@0.621646:0.394108:0.636979:0.394108:0.636979:0.380392:0.621646:0.380392:0.000000
 :@0.636887:0.394662:0.640918:0.394662:0.640918:0.378950:0.636887:0.378950:0.000000
1:@0.660661:0.388014:0.668827:0.388014:0.668827:0.373730:0.660661:0.373730:0.000000
x   :@0.647290:0.404404:0.674031:0.404404:0.674031:0.390372:0.647290:0.390372:0.000000:0.000000:0.000000:0.000000
2:@0.657080:0.403900:0.671019:0.403900:0.671019:0.391431:0.657080:0.391431:0.000000
1:@0.674031:0.404404:0.682197:0.404404:0.682197:0.390120:0.674031:0.390120:0.000000
 :@0.682197:0.404877:0.686412:0.404877:0.686412:0.388450:0.682197:0.388450:0.000000
.:@0.688588:0.394664:0.691791:0.394664:0.691791:0.378951:0.688588:0.378951:0.000000
x :@0.073086:0.430721:0.083781:0.430721:0.083781:0.415286:0.073086:0.415286:0.000000:0.000000
5:@0.083725:0.430166:0.099059:0.430166:0.099059:0.416451:0.083725:0.416451:0.000000
 :@0.098967:0.430721:0.102998:0.430721:0.102998:0.415008:0.098967:0.415008:0.000000
1:@0.106046:0.424078:0.114212:0.424078:0.114212:0.409794:0.106046:0.409794:0.000000
1:@0.114212:0.423574:0.128151:0.423574:0.128151:0.411105:0.114212:0.411105:0.000000
y:@0.128151:0.424078:0.134945:0.424078:0.134945:0.410046:0.128151:0.410046:0.000000
y:@0.117090:0.440468:0.123884:0.440468:0.123884:0.426436:0.117090:0.426436:0.000000
, de manera que el cero del denominador es 0. :@0.137993:0.430727:0.478688:0.430727:0.478688:0.415015:0.137993:0.415015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces,       :@0.073089:0.463456:0.191135:0.463456:0.191135:0.447744:0.073089:0.447744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.146994:0.463456:0.150823:0.463456:0.150823:0.448021:0.146994:0.448021:0.000000
5:@0.154707:0.462901:0.170040:0.462901:0.170040:0.449186:0.154707:0.449186:0.000000
R:@0.173906:0.462596:0.187196:0.462596:0.187196:0.449699:0.173906:0.449699:0.000000
2 :@0.191061:0.462901:0.210904:0.462901:0.210904:0.449186:0.191061:0.449186:0.000000:0.000000
H J:@0.210812:0.464039:0.226275:0.464039:0.226275:0.446384:0.210812:0.446384:0.000000:0.000000:0.000000
x:@0.214807:0.463456:0.222262:0.463456:0.222262:0.448021:0.214807:0.448021:0.000000
, lo que significa que 0 no es imagen de algún valor de  .:@0.226182:0.463456:0.634566:0.463456:0.634566:0.447744:0.226182:0.447744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.623982:0.463456:0.631437:0.463456:0.631437:0.448021:0.623982:0.448021:0.000000
Al revisar las siguientes tablas para valores cercanos a 1 por la derecha y cercanos a 1 por la izquierda, observamos que :@0.073089:0.496185:0.931094:0.496185:0.931094:0.480472:0.073089:0.480472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.085394:0.509507:0.093561:0.509507:0.093561:0.495223:0.085394:0.495223:0.000000
x:@0.075036:0.525897:0.081813:0.525897:0.081813:0.511865:0.075036:0.511865:0.000000
2:@0.081813:0.525393:0.095753:0.525393:0.095753:0.512924:0.081813:0.512924:0.000000
1:@0.095753:0.525897:0.103919:0.525897:0.103919:0.511613:0.095753:0.511613:0.000000
 toma valores cada vez más grandes.:@0.105785:0.516157:0.369729:0.516157:0.369729:0.500444:0.105785:0.500444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.257950:0.560351:0.266638:0.560351:0.266638:0.544652:0.257950:0.544652:0.000000
f x:@0.368265:0.560351:0.388016:0.560351:0.388016:0.544652:0.368265:0.544652:0.000000:0.000000:0.000000
( )  1/(:@0.373861:0.560351:0.433850:0.560351:0.433850:0.543404:0.373861:0.543404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.397146:0.559796:0.412479:0.559796:0.412479:0.546080:0.397146:0.546080:0.000000
x:@0.433776:0.560351:0.442464:0.560351:0.442464:0.544652:0.433776:0.544652:0.000000
2:@0.442391:0.559796:0.457724:0.559796:0.457724:0.546080:0.442391:0.546080:0.000000
1):@0.457632:0.560351:0.472965:0.560351:0.472965:0.543404:0.457632:0.543404:0.000000:0.000000
x:@0.574573:0.560351:0.583261:0.560351:0.583261:0.544652:0.574573:0.544652:0.000000
f x:@0.684888:0.560351:0.704639:0.560351:0.704639:0.544652:0.684888:0.544652:0.000000:0.000000:0.000000
( )  1/(:@0.690484:0.560351:0.750473:0.560351:0.750473:0.543404:0.690484:0.543404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.713769:0.559796:0.729102:0.559796:0.729102:0.546080:0.713769:0.546080:0.000000
x:@0.750399:0.560351:0.759088:0.560351:0.759088:0.544652:0.750399:0.544652:0.000000
2:@0.759014:0.559796:0.774347:0.559796:0.774347:0.546080:0.759014:0.546080:0.000000
1):@0.774255:0.560351:0.789588:0.560351:0.789588:0.543404:0.774255:0.543404:0.000000:0.000000
1,1:@0.291985:0.596089:0.313006:0.596089:0.313006:0.580376:0.291985:0.580376:0.000000:0.000000:0.000000
10:@0.453417:0.596089:0.471309:0.596089:0.471309:0.580376:0.453417:0.580376:0.000000:0.000000
0,9:@0.608608:0.596089:0.629629:0.596089:0.629629:0.580376:0.608608:0.580376:0.000000:0.000000:0.000000
2:@0.754799:0.595534:0.770132:0.595534:0.770132:0.581819:0.754799:0.581819:0.000000
10:@0.770040:0.596089:0.787932:0.596089:0.787932:0.580376:0.770040:0.580376:0.000000:0.000000
1,01:@0.283076:0.631827:0.313006:0.631827:0.313006:0.616115:0.283076:0.616115:0.000000:0.000000:0.000000:0.000000
100:@0.444508:0.631827:0.471309:0.631827:0.471309:0.616115:0.444508:0.616115:0.000000:0.000000:0.000000
0,99:@0.599699:0.631827:0.629629:0.631827:0.629629:0.616115:0.599699:0.616115:0.000000:0.000000:0.000000:0.000000
2:@0.745890:0.631273:0.761223:0.631273:0.761223:0.617557:0.745890:0.617557:0.000000
100:@0.761131:0.631827:0.787932:0.631827:0.787932:0.616115:0.761131:0.616115:0.000000:0.000000:0.000000
1,001:@0.274167:0.667566:0.313006:0.667566:0.313006:0.651853:0.274167:0.651853:0.000000:0.000000:0.000000:0.000000:0.000000
1000:@0.435598:0.667566:0.471309:0.667566:0.471309:0.651853:0.435598:0.651853:0.000000:0.000000:0.000000:0.000000
0,999:@0.590790:0.667566:0.629629:0.667566:0.629629:0.651853:0.590790:0.651853:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.736980:0.667011:0.752314:0.667011:0.752314:0.653295:0.736980:0.653295:0.000000
1000:@0.752222:0.667566:0.787932:0.667566:0.787932:0.651853:0.752222:0.651853:0.000000:0.000000:0.000000:0.000000
1,0001:@0.265258:0.703304:0.313006:0.703304:0.313006:0.687591:0.265258:0.687591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10000:@0.426689:0.703304:0.471309:0.703304:0.471309:0.687591:0.426689:0.687591:0.000000:0.000000:0.000000:0.000000:0.000000
0,9999:@0.581881:0.703304:0.629629:0.703304:0.629629:0.687591:0.581881:0.687591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.728071:0.702749:0.743405:0.702749:0.743405:0.689034:0.728071:0.689034:0.000000
10000:@0.743313:0.703304:0.787932:0.703304:0.787932:0.687591:0.743313:0.687591:0.000000:0.000000:0.000000:0.000000:0.000000
1,00001:@0.256349:0.739042:0.313006:0.739042:0.313006:0.723330:0.256349:0.723330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
100000:@0.417780:0.739042:0.471309:0.739042:0.471309:0.723330:0.417780:0.723330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,99999:@0.572972:0.739042:0.629629:0.739042:0.629629:0.723330:0.572972:0.723330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.719162:0.738488:0.734495:0.738488:0.734495:0.724772:0.719162:0.724772:0.000000
100000:@0.734403:0.739042:0.787932:0.739042:0.787932:0.723330:0.734403:0.723330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,000001:@0.247440:0.774781:0.313006:0.774781:0.313006:0.759068:0.247440:0.759068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1000000:@0.408871:0.774781:0.471309:0.774781:0.471309:0.759068:0.408871:0.759068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,999999:@0.564063:0.774781:0.629629:0.774781:0.629629:0.759068:0.564063:0.759068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.710253:0.774226:0.725586:0.774226:0.725586:0.760510:0.710253:0.760510:0.000000
1000000:@0.725494:0.774781:0.787932:0.774781:0.787932:0.759068:0.725494:0.759068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.073049:0.815442:0.080504:0.815442:0.080504:0.800007:0.073049:0.800007:0.000000
 se acerca a 1 por la derecha, entonces  ( ) tiene al   infinito   se acerca a 1 por la izquierda, entonces  ( ) tiene al   :@0.080449:0.815442:0.930385:0.815442:0.930385:0.799730:0.080449:0.799730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.366829:0.815442:0.383745:0.815442:0.383745:0.800007:0.366829:0.800007:0.000000:0.000000:0.000000
1:@0.450729:0.814888:0.466062:0.814888:0.466062:0.801172:0.450729:0.801172:0.000000
x:@0.525739:0.815442:0.533194:0.815442:0.533194:0.800007:0.525739:0.800007:0.000000
f x:@0.827121:0.815442:0.844037:0.815442:0.844037:0.800007:0.827121:0.800007:0.000000:0.000000:0.000000
2:@0.911021:0.814888:0.926354:0.814888:0.926354:0.801172:0.911021:0.801172:0.000000
infinito:@0.073012:0.832084:0.123956:0.832084:0.123956:0.816371:0.073012:0.816371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.223697:0.864807:0.231152:0.864807:0.231152:0.849371:0.223697:0.849371:0.000000
   1 entonces  ( )     :@0.231082:0.864807:0.400305:0.864807:0.400305:0.849094:0.231082:0.849094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.235040:0.866332:0.247041:0.866332:0.247041:0.847624:0.235040:0.847624:0.000000
1 :@0.259804:0.858419:0.271373:0.858419:0.271373:0.850423:0.259804:0.850423:0.000000:0.000000
f x:@0.342665:0.864807:0.359545:0.864807:0.359545:0.849371:0.342665:0.849371:0.000000:0.000000:0.000000
→:@0.368215:0.866332:0.380216:0.866332:0.380216:0.847624:0.368215:0.847624:0.000000
`:@0.384082:0.864252:0.396359:0.864252:0.396359:0.850536:0.384082:0.850536:0.000000
x:@0.561718:0.864807:0.569173:0.864807:0.569173:0.849371:0.561718:0.849371:0.000000
   1 entonces  ( )   :@0.569100:0.864807:0.728103:0.864807:0.728103:0.849094:0.569100:0.849094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.573057:0.866332:0.585059:0.866332:0.585059:0.847624:0.573057:0.847624:0.000000
2 :@0.597828:0.858419:0.609397:0.858419:0.609397:0.850423:0.597828:0.850423:0.000000:0.000000
f x:@0.686613:0.864807:0.703493:0.864807:0.703493:0.849371:0.686613:0.849371:0.000000:0.000000:0.000000
→:@0.712162:0.866332:0.724164:0.866332:0.724164:0.847624:0.712162:0.847624:0.000000
2`:@0.728029:0.864252:0.755548:0.864252:0.755548:0.850536:0.728029:0.850536:0.000000:0.000000
2:@0.332556:0.932568:0.347890:0.932568:0.347890:0.918852:0.332556:0.918852:0.000000
1:@0.347798:0.933122:0.356780:0.933122:0.356780:0.917410:0.347798:0.917410:0.000000
0:@0.485410:0.933122:0.494393:0.933122:0.494393:0.917410:0.485410:0.917410:0.000000
1:@0.648204:0.933122:0.657187:0.933122:0.657187:0.917410:0.648204:0.917410:0.000000
Izquierda del 1 :@0.224051:0.893810:0.334417:0.893810:0.334417:0.878098:0.224051:0.878098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha del 1:@0.662475:0.893810:0.761009:0.893810:0.761009:0.878098:0.662475:0.878098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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