﻿44:@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
Factoricemos el denominador:  ( )   :@0.073089:0.145534:0.343032:0.145534:0.343032:0.129821:0.073089:0.129821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.298210:0.145534:0.315090:0.145534:0.315090:0.130099:0.298210:0.130099:0.000000:0.000000:0.000000
5:@0.323759:0.144979:0.339093:0.144979:0.339093:0.131264:0.323759:0.131264:0.000000
5:@0.350836:0.136994:0.359003:0.136994:0.359003:0.122710:0.350836:0.122710:0.000000
x:@0.359003:0.136994:0.365780:0.136994:0.365780:0.122962:0.359003:0.122962:0.000000
2:@0.365780:0.136490:0.379719:0.136490:0.379719:0.124021:0.365780:0.124021:0.000000
1:@0.379719:0.136994:0.387885:0.136994:0.387885:0.122710:0.379719:0.122710:0.000000
(2:@0.344026:0.153383:0.356626:0.153383:0.356626:0.139099:0.344026:0.139099:0.000000:0.000000
x:@0.356626:0.153383:0.363404:0.153383:0.363404:0.139351:0.356626:0.139351:0.000000
2:@0.363404:0.152879:0.377343:0.152879:0.377343:0.140410:0.363404:0.140410:0.000000
1):@0.377343:0.153383:0.389943:0.153383:0.389943:0.139099:0.377343:0.139099:0.000000:0.000000
2:@0.389938:0.147871:0.394699:0.147871:0.394699:0.139543:0.389938:0.139543:0.000000
 :@0.394699:0.153856:0.398914:0.153856:0.398914:0.137429:0.394699:0.137429:0.000000
, de manera que el cero del denominador es ½ y el dominio de la función  :@0.395678:0.145534:0.930943:0.145534:0.930943:0.129821:0.395678:0.129821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.168228:0.077120:0.168228:0.077120:0.152515:0.073089:0.152515:0.000000
      será   :@0.133336:0.168228:0.207472:0.168228:0.207472:0.152515:0.133336:0.152515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.190243:0.167368:0.203533:0.167368:0.203533:0.154470:0.190243:0.154470:0.000000
2:@0.207399:0.167673:0.222732:0.167673:0.222732:0.153957:0.207399:0.153957:0.000000
H J:@0.222633:0.170283:0.247615:0.170283:0.247615:0.146209:0.222633:0.146209:0.000000:0.000000:0.000000
1:@0.231019:0.159687:0.239185:0.159687:0.239185:0.145403:0.231019:0.145403:0.000000
2:@0.231019:0.176077:0.239185:0.176077:0.239185:0.161793:0.231019:0.161793:0.000000
.:@0.247490:0.168228:0.250693:0.168228:0.250693:0.152515:0.247490:0.152515:0.000000
Ahora, tomemos valores cercanos a ½ por la derecha y por la izquierda y determinemos sus imágenes para observar :@0.073081:0.190236:0.930139:0.190236:0.930139:0.174524:0.073081:0.174524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
analíticamente su comportamiento: :@0.073081:0.206878:0.337518:0.206878:0.337518:0.191166:0.073081:0.191166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.175891:0.233912:0.184579:0.233912:0.184579:0.218214:0.175891:0.218214:0.000000
f x:@0.341335:0.233912:0.361086:0.233912:0.361086:0.218214:0.341335:0.218214:0.000000:0.000000:0.000000
( )  1/(:@0.346931:0.233912:0.406920:0.233912:0.406920:0.216965:0.346931:0.216965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.370216:0.233358:0.385549:0.233358:0.385549:0.219642:0.370216:0.219642:0.000000
x:@0.406846:0.233912:0.415535:0.233912:0.415535:0.218214:0.406846:0.218214:0.000000
2:@0.415461:0.233358:0.430794:0.233358:0.430794:0.219642:0.415461:0.219642:0.000000
1):@0.430702:0.233912:0.446035:0.233912:0.446035:0.216965:0.430702:0.216965:0.000000:0.000000
x:@0.602792:0.233912:0.611480:0.233912:0.611480:0.218214:0.602792:0.218214:0.000000
f:@0.768052:0.233912:0.773721:0.233912:0.773721:0.218214:0.768052:0.218214:0.000000
(x)  1/(:@0.773648:0.233912:0.834023:0.233912:0.834023:0.216965:0.773648:0.216965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.797319:0.233358:0.812653:0.233358:0.812653:0.219642:0.797319:0.219642:0.000000
x:@0.833950:0.233912:0.842638:0.233912:0.842638:0.218214:0.833950:0.218214:0.000000
2:@0.842564:0.233358:0.857898:0.233358:0.857898:0.219642:0.842564:0.219642:0.000000
1):@0.857806:0.233912:0.873139:0.233912:0.873139:0.216965:0.857806:0.216965:0.000000:0.000000
0,51:@0.228572:0.256781:0.258502:0.256781:0.258502:0.241068:0.228572:0.241068:0.000000:0.000000:0.000000:0.000000
3875,000:@0.406423:0.256781:0.471990:0.256781:0.471990:0.241068:0.406423:0.241068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,49:@0.655492:0.256781:0.685422:0.256781:0.685422:0.241068:0.655492:0.241068:0.000000:0.000000:0.000000:0.000000
3625,000:@0.833342:0.256781:0.898909:0.256781:0.898909:0.241068:0.833342:0.241068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,501:@0.219681:0.279650:0.258521:0.279650:0.258521:0.263937:0.219681:0.263937:0.000000:0.000000:0.000000:0.000000:0.000000
376250,000:@0.388623:0.279650:0.472008:0.279650:0.472008:0.263937:0.388623:0.263937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,499:@0.646582:0.279650:0.685422:0.279650:0.685422:0.263937:0.646582:0.263937:0.000000:0.000000:0.000000:0.000000:0.000000
373750,000:@0.815524:0.279650:0.898909:0.279650:0.898909:0.263937:0.815524:0.263937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,5001:@0.210772:0.302518:0.258521:0.302518:0.258521:0.286806:0.210772:0.286806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
37512500,000:@0.370823:0.302518:0.472026:0.302518:0.472026:0.286806:0.370823:0.286806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,4999:@0.637692:0.302518:0.685440:0.302518:0.685440:0.286806:0.637692:0.286806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
37487500,000:@0.797743:0.302518:0.898946:0.302518:0.898946:0.286806:0.797743:0.286806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,50001:@0.201882:0.325387:0.258539:0.325387:0.258539:0.309674:0.201882:0.309674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3750125000,034:@0.353024:0.325387:0.472045:0.325387:0.472045:0.309674:0.353024:0.309674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,49999:@0.628801:0.325387:0.685459:0.325387:0.685459:0.309674:0.628801:0.309674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3749874999,993:@0.779943:0.325387:0.898964:0.325387:0.898964:0.309674:0.779943:0.309674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,500001:@0.192991:0.348256:0.258557:0.348256:0.258557:0.332543:0.192991:0.332543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
375001249978,433:@0.335224:0.348256:0.472063:0.348256:0.472063:0.332543:0.335224:0.332543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,499999:@0.619892:0.348256:0.685459:0.348256:0.685459:0.332543:0.619892:0.332543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
37499987497843,300:@0.744325:0.348256:0.898983:0.348256:0.898983:0.332543:0.744325:0.332543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,5000001:@0.184082:0.371124:0.258557:0.371124:0.258557:0.355412:0.184082:0.355412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
37500012539476,700:@0.317424:0.371124:0.472082:0.371124:0.472082:0.355412:0.317424:0.355412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,4999999:@0.611001:0.371124:0.685477:0.371124:0.685477:0.355412:0.611001:0.355412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
374999878947670,000:@0.735434:0.371124:0.899001:0.371124:0.899001:0.355412:0.735434:0.355412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Concluimos que cuando       entonces  ( ) :@0.073086:0.399027:0.399837:0.399054:0.399837:0.383341:0.073086:0.383314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.255612:0.399027:0.263067:0.399027:0.263067:0.383592:0.255612:0.383592:0.000000
→:@0.266951:0.400553:0.278953:0.400553:0.278953:0.381844:0.266951:0.381844:0.000000
1:@0.282900:0.391345:0.291066:0.391345:0.291066:0.377061:0.282900:0.377061:0.000000
2:@0.282900:0.407735:0.291066:0.407735:0.291066:0.393451:0.282900:0.393451:0.000000
1:@0.290051:0.384518:0.298990:0.384518:0.298990:0.376522:0.290051:0.376522:0.000000
f x:@0.374195:0.399054:0.391075:0.399054:0.391075:0.383618:0.374195:0.383618:0.000000:0.000000:0.000000
→ :@0.399744:0.400579:0.415842:0.400579:0.415842:0.381871:0.399744:0.381871:0.000000:0.000000
` :@0.415759:0.398499:0.432546:0.398499:0.432546:0.384783:0.415759:0.384783:0.000000:0.000000
x:@0.432454:0.399054:0.439909:0.399054:0.439909:0.383618:0.432454:0.383618:0.000000
      entonces  ( ) :@0.439835:0.399054:0.580800:0.399054:0.580800:0.383341:0.439835:0.383341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.443793:0.400579:0.455795:0.400579:0.455795:0.381871:0.443793:0.381871:0.000000
1:@0.459760:0.392055:0.467927:0.392055:0.467927:0.377771:0.459760:0.377771:0.000000
2:@0.459760:0.408445:0.467927:0.408445:0.467927:0.394161:0.459760:0.394161:0.000000
2:@0.466909:0.385228:0.475848:0.385228:0.475848:0.377232:0.466909:0.377232:0.000000
 :@0.479726:0.400579:0.483904:0.400579:0.483904:0.381871:0.479726:0.381871:0.000000
f x:@0.555159:0.399054:0.572038:0.399054:0.572038:0.383618:0.555159:0.383618:0.000000:0.000000:0.000000
→ :@0.580708:0.400579:0.596805:0.400579:0.596805:0.381871:0.580708:0.381871:0.000000:0.000000
`:@0.596722:0.398499:0.609000:0.398499:0.609000:0.384783:0.596722:0.384783:0.000000
Es decir, que cuando      , entonces  ( ) :@0.073091:0.426291:0.370731:0.426287:0.370731:0.410574:0.073091:0.410578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.226460:0.426291:0.233915:0.426291:0.233915:0.410855:0.226460:0.410855:0.000000
→:@0.237799:0.427816:0.249801:0.427816:0.249801:0.409108:0.237799:0.409108:0.000000
1:@0.256128:0.417747:0.264294:0.417747:0.264294:0.403462:0.256128:0.403462:0.000000
2:@0.256128:0.434136:0.264294:0.434136:0.264294:0.419852:0.256128:0.419852:0.000000
f x:@0.345090:0.426287:0.361969:0.426287:0.361969:0.410852:0.345090:0.410852:0.000000:0.000000:0.000000
→ :@0.370639:0.427812:0.386736:0.427812:0.386736:0.409104:0.370639:0.409104:0.000000:0.000000
`:@0.386654:0.425732:0.398931:0.425732:0.398931:0.412017:0.386654:0.412017:0.000000
 y se determina la asíntota vertical      .:@0.398839:0.426287:0.694508:0.426287:0.694508:0.410574:0.398839:0.410574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.647760:0.426287:0.655215:0.426287:0.655215:0.410852:0.647760:0.410852:0.000000
5:@0.659099:0.425732:0.674433:0.425732:0.674433:0.412017:0.659099:0.412017:0.000000
1:@0.680760:0.417747:0.688926:0.417747:0.688926:0.403462:0.680760:0.403462:0.000000
2:@0.680760:0.434136:0.688926:0.434136:0.688926:0.419852:0.680760:0.419852:0.000000
Construyamos la gráfica haciendo tabulaciones con valores de   entre  10 y 10. También se genera una asíntota :@0.073079:0.448296:0.930929:0.448296:0.930929:0.432583:0.073079:0.432583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.549754:0.448296:0.557208:0.448296:0.557208:0.432860:0.549754:0.432860:0.000000
2:@0.607057:0.447741:0.622390:0.447741:0.622390:0.434025:0.607057:0.434025:0.000000
horizontal     0.:@0.073098:0.464938:0.192855:0.464938:0.192855:0.449225:0.073098:0.449225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.150187:0.464938:0.157661:0.464938:0.157661:0.449502:0.150187:0.449502:0.000000
5:@0.161545:0.464383:0.176878:0.464383:0.176878:0.450667:0.161545:0.450667:0.000000
0:@0.473698:0.821184:0.481864:0.821184:0.481864:0.806900:0.473698:0.806900:0.000000
2:@0.415498:0.820679:0.429437:0.820679:0.429437:0.808211:0.415498:0.808211:0.000000
2:@0.429437:0.821184:0.437603:0.821184:0.437603:0.806900:0.429437:0.806900:0.000000
2:@0.532233:0.822671:0.540399:0.822671:0.540399:0.808387:0.532233:0.808387:0.000000
2:@0.473062:0.774788:0.481228:0.774788:0.481228:0.760504:0.473062:0.760504:0.000000
2:@0.459123:0.855073:0.473062:0.855073:0.473062:0.842604:0.459123:0.842604:0.000000
2:@0.473062:0.855577:0.481228:0.855577:0.481228:0.841293:0.473062:0.841293:0.000000
2:@0.459123:0.895467:0.473062:0.895467:0.473062:0.882998:0.459123:0.882998:0.000000
4:@0.473062:0.895971:0.481228:0.895971:0.481228:0.881687:0.473062:0.881687:0.000000
2:@0.459123:0.935861:0.473062:0.935861:0.473062:0.923392:0.459123:0.923392:0.000000
6:@0.473062:0.936366:0.481228:0.936366:0.481228:0.922082:0.473062:0.922082:0.000000
4:@0.472142:0.733499:0.480308:0.733499:0.480308:0.719215:0.472142:0.719215:0.000000
6:@0.472142:0.693987:0.480308:0.693987:0.480308:0.679703:0.472142:0.679703:0.000000
8:@0.472142:0.653593:0.480308:0.653593:0.480308:0.639309:0.472142:0.639309:0.000000
10:@0.463976:0.612593:0.480308:0.612593:0.480308:0.598309:0.463976:0.598309:0.000000:0.000000
12:@0.463976:0.572804:0.480308:0.572804:0.480308:0.558520:0.463976:0.558520:0.000000:0.000000
14:@0.463976:0.532561:0.480308:0.532561:0.480308:0.518277:0.463976:0.518277:0.000000:0.000000
16:@0.463976:0.492167:0.480308:0.492167:0.480308:0.477883:0.463976:0.477883:0.000000:0.000000
4:@0.585346:0.822671:0.593513:0.822671:0.593513:0.808387:0.585346:0.808387:0.000000
6:@0.639481:0.822671:0.647647:0.822671:0.647647:0.808387:0.639481:0.808387:0.000000
8:@0.693615:0.822671:0.701781:0.822671:0.701781:0.808387:0.693615:0.808387:0.000000
10:@0.742628:0.822671:0.758960:0.822671:0.758960:0.808387:0.742628:0.808387:0.000000:0.000000
2:@0.362753:0.820679:0.376692:0.820679:0.376692:0.808211:0.362753:0.808211:0.000000
4:@0.376692:0.821184:0.384858:0.821184:0.384858:0.806900:0.376692:0.806900:0.000000
2:@0.307414:0.820679:0.321353:0.820679:0.321353:0.808211:0.307414:0.808211:0.000000
6:@0.321353:0.821184:0.329519:0.821184:0.329519:0.806900:0.321353:0.806900:0.000000
2:@0.253949:0.820679:0.267888:0.820679:0.267888:0.808211:0.253949:0.808211:0.000000
8:@0.267888:0.821184:0.276054:0.821184:0.276054:0.806900:0.267888:0.806900:0.000000
2:@0.197020:0.820679:0.210960:0.820679:0.210960:0.808211:0.197020:0.808211:0.000000
10:@0.210960:0.821184:0.227292:0.821184:0.227292:0.806900:0.210960:0.806900:0.000000:0.000000
2:@0.142501:0.820679:0.156441:0.820679:0.156441:0.808211:0.142501:0.808211:0.000000
12:@0.156441:0.821184:0.172773:0.821184:0.172773:0.806900:0.156441:0.806900:0.000000:0.000000
x:@0.410894:0.484088:0.417671:0.484088:0.417671:0.470056:0.410894:0.470056:0.000000
5 :@0.417671:0.483584:0.435794:0.483584:0.435794:0.471115:0.417671:0.471115:0.000000:0.000000
1/2:@0.435793:0.484088:0.457998:0.484088:0.457998:0.469804:0.435793:0.469804:0.000000:0.000000:0.000000
y:@0.467587:0.471973:0.474950:0.471973:0.474950:0.457688:0.467587:0.457688:0.000000
5:@0.197002:0.788949:0.205168:0.788949:0.205168:0.774665:0.197002:0.774665:0.000000
x:@0.205168:0.788949:0.211945:0.788949:0.211945:0.774917:0.205168:0.774917:0.000000
2:@0.211945:0.788445:0.225885:0.788445:0.225885:0.775976:0.211945:0.775976:0.000000
1:@0.225885:0.788949:0.234051:0.788949:0.234051:0.774665:0.225885:0.774665:0.000000
(2:@0.190175:0.803296:0.202775:0.803296:0.202775:0.789012:0.190175:0.789012:0.000000:0.000000
x:@0.202775:0.803296:0.209552:0.803296:0.209552:0.789264:0.202775:0.789264:0.000000
2:@0.209552:0.802792:0.223492:0.802792:0.223492:0.790323:0.209552:0.790323:0.000000
1)²:@0.223492:0.803296:0.240878:0.803296:0.240878:0.789012:0.223492:0.789012:0.000000:0.000000:0.000000
     :@0.781672:0.940104:0.801533:0.940104:0.801533:0.924391:0.781672:0.924391:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 4.9:@0.801424:0.939158:0.852228:0.939158:0.852228:0.927731:0.801424:0.927731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. Analiza funciones de una variable investigando ratas de cambio, interceptos, ceros, asíntotas y comportamiento local y global.:@0.219460:0.971366:0.922366:0.971366:0.922366:0.959939:0.219460:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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