﻿190:@0.026565:0.967627:0.050760:0.967627:0.050760:0.951847:0.026565:0.951847:0.000000:0.000000:0.000000
Las nociones que introducimos en esta sección corresponden a los :@0.404235:0.125061:0.895876:0.125061:0.895876:0.108563:0.404235:0.108563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primeros pasos que se dan en el cálculo diferencial e integral.:@0.404235:0.142411:0.833651:0.142411:0.833651:0.125914:0.404235:0.125914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos la definición de valor absoluto de un número real :@0.404235:0.172587:0.851994:0.172587:0.851994:0.156090:0.404235:0.156090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t::@0.851994:0.172703:0.860933:0.172703:0.860933:0.156234:0.851994:0.156234:0.000000:0.000000
t:@0.592545:0.209798:0.598209:0.209798:0.598209:0.193329:0.592545:0.193329:0.000000
=:@0.604481:0.210318:0.615058:0.210318:0.615058:0.194037:0.604481:0.194037:0.000000
t:@0.627156:0.195960:0.632820:0.195960:0.632820:0.179492:0.627156:0.179492:0.000000
, si :@0.634650:0.195845:0.656674:0.196302:0.656674:0.179804:0.634650:0.179347:0.000000:0.000000:0.000000:0.000000:0.000000
– , si :@0.627156:0.224763:0.668541:0.225451:0.668541:0.208953:0.627156:0.208265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.637521:0.224878:0.643185:0.224878:0.643185:0.208410:0.637521:0.208410:0.000000
d x y:@0.599665:0.257182:0.640488:0.257182:0.640488:0.240713:0.599665:0.240713:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.627522:0.257066:0.630277:0.257066:0.630277:0.240568:0.627522:0.240568:0.000000
( ):@0.610187:0.260736:0.647908:0.260736:0.647908:0.239246:0.610187:0.239246:0.000000:0.000000:0.000000
=:@0.650602:0.257702:0.661179:0.257702:0.661179:0.241421:0.650602:0.241421:0.000000
x y:@0.664897:0.257182:0.696723:0.257182:0.696723:0.240713:0.664897:0.240713:0.000000:0.000000:0.000000
–:@0.675165:0.257066:0.685665:0.257066:0.685665:0.240568:0.675165:0.240568:0.000000
d x y:@0.599665:0.289439:0.640488:0.289439:0.640488:0.272971:0.599665:0.272971:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.627522:0.289324:0.630277:0.289324:0.630277:0.272826:0.627522:0.272826:0.000000
( ):@0.610187:0.292994:0.647908:0.292994:0.647908:0.271503:0.610187:0.271503:0.000000:0.000000:0.000000
=:@0.650602:0.289961:0.661179:0.289961:0.661179:0.273680:0.650602:0.273680:0.000000
y x:@0.665321:0.289440:0.696511:0.289440:0.696511:0.272971:0.665321:0.272971:0.000000:0.000000:0.000000
–:@0.675589:0.289324:0.686089:0.289324:0.686089:0.272827:0.675589:0.272827:0.000000
x x:@0.600398:0.323269:0.624095:0.323269:0.624095:0.306800:0.600398:0.306800:0.000000:0.000000:0.000000
0:@0.625003:0.325372:0.629920:0.325372:0.629920:0.315823:0.625003:0.315823:0.000000
,:@0.633012:0.323153:0.635767:0.323153:0.635767:0.306656:0.633012:0.306656:0.000000
x x:@0.600396:0.353445:0.624092:0.353445:0.624092:0.336976:0.600396:0.336976:0.000000:0.000000:0.000000
0:@0.625003:0.355547:0.629920:0.355547:0.629920:0.345999:0.625003:0.345999:0.000000
.:@0.632280:0.353329:0.635035:0.353329:0.635035:0.336831:0.632280:0.336831:0.000000
t   :@0.656674:0.196417:0.681199:0.196417:0.681199:0.179949:0.656674:0.179949:0.000000:0.000000:0.000000:0.000000
≥:@0.666480:0.196851:0.677057:0.196851:0.677057:0.178011:0.666480:0.178011:0.000000
0,:@0.681199:0.196302:0.692449:0.196302:0.692449:0.179804:0.681199:0.179804:0.000000:0.000000
t   :@0.668541:0.225567:0.693066:0.225567:0.693066:0.209098:0.668541:0.209098:0.000000:0.000000:0.000000:0.000000
<:@0.678347:0.226000:0.688924:0.226000:0.688924:0.207160:0.678347:0.207160:0.000000
0.:@0.693066:0.225451:0.704317:0.225451:0.704317:0.208953:0.693066:0.208953:0.000000:0.000000
De esta definición y de la distancia entre dos números reales, se tiene::@0.404241:0.247197:0.891799:0.247197:0.891799:0.230700:0.404241:0.230700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si  ≥   entonces :@0.404241:0.264548:0.526853:0.264548:0.526853:0.248050:0.404241:0.248050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y,:@0.418054:0.264664:0.454235:0.264664:0.454235:0.248195:0.418054:0.248195:0.000000:0.000000:0.000000:0.000000:0.000000
x – y:@0.526479:0.264664:0.559211:0.264664:0.559211:0.248195:0.526479:0.248195:0.000000:0.000000:0.000000:0.000000:0.000000
   ≥ 0, con lo que  (:@0.547758:0.264548:0.690773:0.264548:0.690773:0.248050:0.547758:0.248050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.573785:0.265098:0.578601:0.265098:0.578601:0.246257:0.573785:0.246257:0.000000
d  x, y:@0.671893:0.264664:0.712666:0.264664:0.712666:0.248195:0.671893:0.248195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) = |:@0.712666:0.264548:0.741967:0.264548:0.741967:0.248050:0.712666:0.248050:0.000000:0.000000:0.000000:0.000000:0.000000
x – :@0.741967:0.264664:0.767387:0.264664:0.767387:0.248195:0.741967:0.248195:0.000000:0.000000:0.000000:0.000000
y| = :@0.767006:0.264548:0.798553:0.264548:0.798553:0.248050:0.767006:0.248050:0.000000:0.000000:0.000000:0.000000:0.000000
x – :@0.798177:0.264664:0.823596:0.264664:0.823596:0.248195:0.798177:0.248195:0.000000:0.000000:0.000000:0.000000
y.  Si  < y, :@0.823222:0.264548:0.895881:0.264548:0.895881:0.248050:0.823222:0.248050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.856127:0.264664:0.867744:0.264664:0.867744:0.248195:0.856127:0.248195:0.000000:0.000000
 :@0.891729:0.264548:0.895871:0.264548:0.895871:0.248050:0.891729:0.248050:0.000000
entonces :@0.404203:0.285918:0.473055:0.285918:0.473055:0.269421:0.404203:0.269421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – y   0:@0.473055:0.286034:0.533702:0.286034:0.533702:0.269565:0.473055:0.269565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< , con lo que  (:@0.510680:0.285918:0.639699:0.285918:0.639699:0.269421:0.510680:0.269421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d  x, y:@0.620434:0.286034:0.661968:0.286034:0.661968:0.269565:0.620434:0.269565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) = |:@0.661968:0.285918:0.692022:0.285918:0.692022:0.269421:0.661968:0.269421:0.000000:0.000000:0.000000:0.000000:0.000000
x – :@0.692022:0.286034:0.717818:0.286034:0.717818:0.269565:0.692022:0.269565:0.000000:0.000000:0.000000:0.000000
y| = –(:@0.717818:0.285918:0.766193:0.285918:0.766193:0.269421:0.717818:0.269421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – :@0.766193:0.286034:0.791989:0.286034:0.791989:0.269565:0.766193:0.269565:0.000000:0.000000:0.000000:0.000000
y) = :@0.791989:0.285918:0.824856:0.285918:0.824856:0.269421:0.791989:0.269421:0.000000:0.000000:0.000000:0.000000:0.000000
y – x. :@0.824856:0.286034:0.865448:0.286034:0.865448:0.269565:0.824856:0.269565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404203:0.320996:0.534858:0.320996:0.534858:0.304209:0.404203:0.304209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404203:0.338679:0.418613:0.338679:0.418613:0.321487:0.404203:0.321487:0.000000:0.000000
  :@0.418613:0.338433:0.426666:0.338433:0.426666:0.321487:0.418613:0.321487:0.000000:0.000000
Para  = –2 = 1, se tiene  (–2, 1) = |:@0.427937:0.337971:0.699269:0.337971:0.699269:0.321473:0.427937:0.321473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.462422:0.338086:0.474039:0.338086:0.474039:0.321618:0.462422:0.321618:0.000000:0.000000
, y :@0.507985:0.338086:0.526807:0.338086:0.526807:0.321618:0.507985:0.321618:0.000000:0.000000:0.000000:0.000000
d :@0.615562:0.338086:0.628874:0.338086:0.628874:0.321618:0.615562:0.321618:0.000000:0.000000
–2 –:@0.699269:0.338086:0.731558:0.338086:0.731558:0.321618:0.699269:0.321618:0.000000:0.000000:0.000000:0.000000
1| = | | =3. :@0.731558:0.337971:0.822625:0.337971:0.822625:0.321473:0.731558:0.321473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3:@0.769164:0.338086:0.787273:0.338086:0.787273:0.321618:0.769164:0.321618:0.000000:0.000000
2. :@0.404203:0.356030:0.422986:0.356030:0.422986:0.338838:0.404203:0.338838:0.000000:0.000000:0.000000
 :@0.422986:0.355784:0.427013:0.355784:0.427013:0.338838:0.422986:0.338838:0.000000
Si  = 10 =  , entonces  (10; 10) = |:@0.427937:0.355321:0.680177:0.355321:0.680177:0.338824:0.427937:0.338824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.443889:0.355437:0.455506:0.355437:0.455506:0.338968:0.443889:0.338968:0.000000:0.000000
y:@0.506540:0.355437:0.514227:0.355437:0.514227:0.338968:0.506540:0.338968:0.000000
d :@0.589978:0.355437:0.603290:0.355437:0.603290:0.338968:0.589978:0.338968:0.000000:0.000000
10 – 10:@0.680177:0.355437:0.730787:0.355437:0.730787:0.338968:0.680177:0.338968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| = 0.:@0.730787:0.355321:0.766139:0.355321:0.766139:0.338824:0.730787:0.338824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Significados de     0,     :@0.404235:0.408771:0.620617:0.408771:0.620617:0.391089:0.404235:0.391089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.527228:0.408771:0.536074:0.408771:0.540228:0.391089:0.531383:0.391089:0.000000
→:@0.541293:0.408862:0.561134:0.408862:0.561134:0.389203:0.541293:0.389203:0.000000
x:@0.582511:0.408771:0.591357:0.408771:0.595511:0.391089:0.586666:0.391089:0.000000
→:@0.596574:0.408862:0.616415:0.408862:0.616415:0.389203:0.596574:0.389203:0.000000
x:@0.619599:0.408771:0.628445:0.408771:0.632599:0.391089:0.623754:0.391089:0.000000
0:@0.628869:0.411990:0.634577:0.411990:0.636999:0.401681:0.631291:0.401681:0.000000
+:@0.634581:0.401945:0.641425:0.401945:0.643847:0.391636:0.637003:0.391636:0.000000
 y      :@0.642015:0.408771:0.700514:0.408771:0.700514:0.391089:0.642015:0.391089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.662407:0.408771:0.671252:0.408771:0.675407:0.391089:0.666561:0.391089:0.000000
→:@0.676471:0.408862:0.696313:0.408862:0.696313:0.389203:0.676471:0.389203:0.000000
x:@0.699497:0.408771:0.708342:0.408771:0.712496:0.391089:0.703651:0.391089:0.000000
0:@0.708765:0.411990:0.714472:0.411990:0.716894:0.401681:0.711186:0.401681:0.000000
–:@0.714477:0.401945:0.720911:0.401945:0.723333:0.391636:0.716899:0.391636:0.000000
Para introducir los términos \pequeño\ y \suficientemente pequeño\, :@0.404235:0.425479:0.895897:0.425479:0.895897:0.408981:0.404235:0.408981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizaremos las relaciones de orden “menor que <” y “mayor que >” :@0.404235:0.442830:0.895959:0.442830:0.895959:0.426332:0.404235:0.426332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el siguiente sentido: sea 0 <   < 1, diremos que :@0.404235:0.460180:0.758839:0.460180:0.758839:0.443683:0.404235:0.443683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.758839:0.460296:0.770456:0.460296:0.770456:0.443827:0.758839:0.443827:0.000000:0.000000
∈ :@0.770456:0.460730:0.789009:0.460730:0.789009:0.441890:0.770456:0.441890:0.000000:0.000000
R:@0.789009:0.459212:0.802918:0.459212:0.802918:0.445765:0.789009:0.445765:0.000000
 con   ≠ 0 es :@0.802918:0.460180:0.895873:0.460180:0.895873:0.443683:0.802918:0.443683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.838154:0.460296:0.845629:0.460296:0.845629:0.443827:0.838154:0.443827:0.000000
pequeño (suficientemente pequeño) con respecto de  , si se verifica :@0.404243:0.477531:0.895903:0.477531:0.895903:0.461033:0.404243:0.461033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891761:0.477531:0.895903:0.477531:0.895903:0.461033:0.891761:0.461033:0.000000
que | | < .:@0.404235:0.494882:0.479085:0.494882:0.479085:0.478384:0.404235:0.478384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.440395:0.494998:0.447870:0.494998:0.447870:0.478529:0.440395:0.478529:0.000000
Ejercicio resuelto:@0.404240:0.522672:0.522218:0.522672:0.522218:0.505885:0.404240:0.505885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.522218:0.522296:0.526360:0.522296:0.526360:0.505798:0.522218:0.505798:0.000000
1.:@0.404240:0.540355:0.418650:0.540355:0.418650:0.523164:0.404240:0.523164:0.000000:0.000000
  Sea   = 0,1. Todo número real  ≠ 0 tal que | | < 0,1 es pequeño :@0.418650:0.539647:0.895913:0.539642:0.895913:0.523144:0.418650:0.523149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.648437:0.539757:0.660054:0.539757:0.660054:0.523289:0.648437:0.523289:0.000000:0.000000
x:@0.750154:0.539757:0.757629:0.539757:0.757629:0.523289:0.750154:0.523289:0.000000
con respecto de   = 0,1. Así, si :@0.427963:0.556993:0.637812:0.556993:0.637812:0.540495:0.427963:0.540495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = –:@0.636906:0.557108:0.671776:0.557108:0.671776:0.540639:0.636906:0.540639:0.000000:0.000000:0.000000:0.000000:0.000000
0,05, se tiene |:@0.671776:0.556993:0.767619:0.556993:0.767619:0.540495:0.671776:0.540495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,05:@0.767619:0.557108:0.804724:0.557108:0.804724:0.540639:0.767619:0.540639:0.000000:0.000000:0.000000:0.000000:0.000000
|= 0,05 < 0,1; :@0.804724:0.556993:0.895945:0.556993:0.895945:0.540495:0.804724:0.540495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891803:0.556993:0.895945:0.556993:0.895945:0.540495:0.891803:0.540495:0.000000
 :@0.891766:0.556993:0.895908:0.556993:0.895908:0.540495:0.891766:0.540495:0.000000
con lo que :@0.427974:0.574343:0.517402:0.574343:0.517402:0.557846:0.427974:0.557846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = –:@0.522199:0.574459:0.568474:0.574459:0.568474:0.557990:0.522199:0.557990:0.000000:0.000000:0.000000:0.000000:0.000000
0,05 es pequeño respecto de   = 0,1. Por :@0.568474:0.574343:0.895931:0.574343:0.895931:0.557846:0.568474:0.557846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el contrario, :@0.427976:0.591694:0.518270:0.591694:0.518270:0.575196:0.427976:0.575196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = :@0.520659:0.591810:0.549692:0.591810:0.549692:0.575341:0.520659:0.575341:0.000000:0.000000:0.000000:0.000000
0,15 no es pequeño respecto de   = 0,1, pues  :@0.552081:0.591694:0.895917:0.591694:0.895917:0.575196:0.552081:0.575196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = :@0.427984:0.609160:0.454627:0.609160:0.454627:0.592692:0.427984:0.592692:0.000000:0.000000:0.000000:0.000000
0,15 > 0,1 =  . :@0.454627:0.609045:0.556192:0.609045:0.556192:0.592547:0.454627:0.592547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.404235:0.662495:0.479017:0.662495:0.479017:0.644812:0.404235:0.644812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribiremos   :@0.404235:0.679202:0.510404:0.679202:0.510404:0.662704:0.404235:0.662704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.497399:0.679202:0.505395:0.679202:0.509271:0.662704:0.501275:0.662704:0.000000
→ :@0.510172:0.679752:0.534004:0.679752:0.534004:0.660912:0.510172:0.660912:0.000000:0.000000
0, que se lee “x tiende a cero” o también “ se apro-:@0.533734:0.679202:0.891759:0.679202:0.891759:0.662704:0.533734:0.662704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.823923:0.679318:0.835540:0.679318:0.835540:0.662849:0.823923:0.662849:0.000000:0.000000
xima a cero”, para indicar que | | puede hacerse tan pequeño como :@0.404233:0.696553:0.895815:0.696553:0.895815:0.680055:0.404233:0.680055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.625591:0.696669:0.633066:0.696669:0.633066:0.680200:0.625591:0.680200:0.000000
se quiera. Es decir que para cada  > 0, se tiene | |<  . :@0.404233:0.713904:0.787484:0.713904:0.787484:0.697406:0.404233:0.697406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.645697:0.713687:0.650513:0.713687:0.650513:0.699040:0.645697:0.699040:0.000000
 :@0.735124:0.713687:0.739940:0.713687:0.739940:0.699040:0.735124:0.699040:0.000000
x:@0.744949:0.714019:0.752424:0.714019:0.752424:0.697551:0.744949:0.697551:0.000000
También se dice “| | es suficientemente pequeño”. Damos a continua-:@0.404240:0.748605:0.891792:0.748605:0.891792:0.732108:0.404240:0.732108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.531266:0.748721:0.538741:0.748721:0.538741:0.732252:0.531266:0.732252:0.000000
ción una interpretación de esta formulación.:@0.404240:0.765956:0.719592:0.765956:0.719592:0.749458:0.404240:0.749458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   :@0.404240:0.800657:0.450244:0.800657:0.450244:0.784160:0.404240:0.784160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.433678:0.800773:0.441153:0.800773:0.441153:0.784304:0.433678:0.784304:0.000000
0:@0.441150:0.803935:0.446103:0.803935:0.446103:0.794317:0.441150:0.794317:0.000000
∈ :@0.451419:0.801207:0.469972:0.801207:0.469972:0.782367:0.451419:0.782367:0.000000:0.000000
R:@0.471340:0.799689:0.485249:0.799689:0.485249:0.786242:0.471340:0.786242:0.000000
 fijo. Dado :@0.485249:0.800657:0.564601:0.800657:0.564601:0.784160:0.485249:0.784160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.565776:0.800773:0.577393:0.800773:0.577393:0.784304:0.565776:0.784304:0.000000:0.000000
∈ :@0.578589:0.801207:0.597142:0.801207:0.597142:0.782367:0.578589:0.782367:0.000000:0.000000
R:@0.598510:0.799689:0.612419:0.799689:0.612419:0.786242:0.598510:0.786242:0.000000
 con  ≠  , por la propiedad de trico-:@0.612419:0.800657:0.891748:0.800657:0.891748:0.784160:0.612419:0.784160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.650006:0.800773:0.657480:0.800773:0.657480:0.784304:0.650006:0.784304:0.000000
  :@0.657496:0.803935:0.663010:0.803935:0.663010:0.794317:0.657496:0.794317:0.000000:0.000000
  0:@0.679830:0.803935:0.695361:0.803935:0.695361:0.794317:0.679830:0.794317:0.000000:0.000000:0.000000
x:@0.682932:0.800773:0.690407:0.800773:0.690407:0.784304:0.682932:0.784304:0.000000
tomía, se verifica una y solo una de las dos condiciones siguientes:  :@0.404242:0.818008:0.895911:0.818008:0.895911:0.801511:0.404242:0.801511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.404242:0.836067:0.416475:0.836067:0.416475:0.818876:0.404242:0.818876:0.000000:0.000000
 x < x ;     x > x .:@0.416475:0.835359:0.540094:0.835359:0.540094:0.818861:0.416475:0.818861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.455691:0.838637:0.460644:0.838637:0.460644:0.829019:0.455691:0.829019:0.000000
ii):@0.475824:0.836067:0.493163:0.836067:0.493163:0.818876:0.475824:0.818876:0.000000:0.000000:0.000000
0:@0.532385:0.838637:0.537338:0.838637:0.537338:0.829019:0.532385:0.829019:0.000000
Para precisar la notación   :@0.404235:0.870060:0.595980:0.870060:0.595980:0.853563:0.404235:0.853563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.582977:0.870060:0.590972:0.870060:0.594848:0.853563:0.586853:0.853563:0.000000
→ :@0.596442:0.870610:0.620273:0.870610:0.620273:0.851770:0.596442:0.851770:0.000000:0.000000
x  que se lee “ tiende a  ”o también :@0.620813:0.870060:0.895906:0.870060:0.895906:0.853563:0.620813:0.853563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.628817:0.873338:0.633770:0.873338:0.633770:0.863720:0.628817:0.863720:0.000000
x :@0.719634:0.870176:0.731251:0.870176:0.731251:0.853707:0.719634:0.853707:0.000000:0.000000
  0  :@0.794147:0.873338:0.817339:0.873338:0.817339:0.863720:0.794147:0.863720:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.796834:0.870176:0.804309:0.870176:0.804309:0.853707:0.796834:0.853707:0.000000
 :@0.891764:0.870060:0.895906:0.870060:0.895906:0.853563:0.891764:0.853563:0.000000
“ se aproxima a :@0.404237:0.887411:0.531580:0.887411:0.531580:0.870914:0.404237:0.870914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.409901:0.887527:0.421518:0.887527:0.421518:0.871058:0.409901:0.871058:0.000000:0.000000
x:@0.534451:0.887527:0.541926:0.887527:0.541926:0.871058:0.534451:0.871058:0.000000
0 :@0.541896:0.890689:0.549264:0.890689:0.549264:0.881071:0.541896:0.881071:0.000000:0.000000
”, veamos algunos ejemplos que nos permitan :@0.550932:0.887411:0.895950:0.887411:0.895950:0.870914:0.550932:0.870914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprender este significado.:@0.404227:0.904762:0.607741:0.904762:0.607741:0.888264:0.404227:0.888264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Noción intuitiva de límite:@0.404801:0.106129:0.605725:0.106129:0.605725:0.088446:0.404801:0.088446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199646:0.104406:0.297269:0.104406:0.297269:0.088933:0.199646:0.088933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199646:0.116974:0.311604:0.116974:0.311604:0.101501:0.199646:0.101501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los conceptos de límite y :@0.193074:0.141058:0.365162:0.141058:0.365162:0.126425:0.193074:0.126425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuidad son la base del es-:@0.153346:0.156447:0.361498:0.156447:0.361498:0.141814:0.153346:0.141814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tudio del cálculo diferencial e in-:@0.153346:0.171837:0.361498:0.171837:0.361498:0.157204:0.153346:0.157204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tegral; sobre estos conceptos da-:@0.153346:0.187226:0.361498:0.187226:0.361498:0.172593:0.153346:0.172593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
remos aquí los primeros pasos. El :@0.153346:0.202615:0.365175:0.202615:0.365175:0.187983:0.153346:0.187983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
significado más próximo al mate-:@0.153346:0.218005:0.361498:0.218005:0.361498:0.203372:0.153346:0.203372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mático de la palabra \límite\, dado :@0.153346:0.233394:0.365175:0.233394:0.365175:0.218761:0.153346:0.218761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el :@0.153346:0.248783:0.193544:0.248783:0.193544:0.234151:0.153346:0.234151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diccionario de la lengua es-:@0.194441:0.248886:0.361497:0.248886:0.361497:0.234279:0.194441:0.234279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pañola:@0.153345:0.264275:0.195756:0.264275:0.195756:0.249668:0.153345:0.249668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, es: \término:@0.195585:0.264173:0.365176:0.264173:0.365176:0.249540:0.195585:0.249540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confinante, aledaño\:@0.153345:0.279562:0.365159:0.279562:0.365159:0.264929:0.153345:0.264929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
separa dos terrenos contiguos”, :@0.153345:0.294951:0.365176:0.294951:0.365176:0.280319:0.153345:0.280319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“punto del cual no se puede ex-:@0.153345:0.310341:0.361497:0.310341:0.361497:0.295708:0.153345:0.295708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tender una acción, una influen-:@0.153345:0.325730:0.361497:0.325730:0.361497:0.311098:0.153345:0.311098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cia, un estado”. En cuanto a la :@0.153345:0.341120:0.365192:0.341120:0.365192:0.326487:0.153345:0.326487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
palabra “continuo”, encontramos :@0.153345:0.356509:0.365175:0.356509:0.365175:0.341876:0.153345:0.341876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“sin  interrupción  en  el tiempo  o :@0.153345:0.371898:0.365175:0.371898:0.365175:0.357266:0.153345:0.357266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el espacio”, “que se hace o se :@0.153345:0.387288:0.365175:0.387288:0.365175:0.372655:0.153345:0.372655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
extiende sin interrupción”, “todo :@0.153345:0.402677:0.365158:0.402677:0.365158:0.388044:0.153345:0.388044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesto de partes unidas en-:@0.153345:0.418066:0.361497:0.418066:0.361497:0.403434:0.153345:0.403434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tre sí”, “incesante”; y de la palabra :@0.153345:0.433456:0.365194:0.433456:0.365194:0.418823:0.153345:0.418823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“continuidad” encontramos “cali-:@0.153345:0.448845:0.361497:0.448845:0.361497:0.434212:0.153345:0.434212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad o condición de las funciones :@0.153345:0.464235:0.365176:0.464235:0.365176:0.449602:0.153345:0.449602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.361497:0.464235:0.365171:0.464235:0.365171:0.449602:0.361497:0.449602:0.000000
o transformaciones continuas”.:@0.153345:0.479624:0.341886:0.479624:0.341886:0.464991:0.153345:0.464991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.153345:0.510813:0.198762:0.510813:0.198762:0.495783:0.153345:0.495783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.198591:0.510403:0.215832:0.510403:0.215832:0.495770:0.198591:0.495770:0.000000:0.000000:0.000000
menciona:@0.218959:0.510813:0.285257:0.510813:0.285257:0.495783:0.218959:0.495783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dos figuras :@0.285086:0.510403:0.365173:0.510403:0.365173:0.495770:0.285086:0.495770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que contribuyeron al desarrollo :@0.153345:0.525792:0.365175:0.525792:0.365175:0.511159:0.153345:0.511159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del concepto de límite.:@0.153345:0.541181:0.293871:0.541181:0.293871:0.526549:0.153345:0.526549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199646:0.653772:0.297269:0.653772:0.297269:0.638300:0.199646:0.638300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199646:0.666340:0.311604:0.666340:0.311604:0.650868:0.199646:0.650868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conoce algunas letras del :@0.193074:0.690815:0.361743:0.690815:0.361743:0.675752:0.193074:0.675752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alfabeto griego.:@0.153338:0.706657:0.251768:0.706657:0.251768:0.691593:0.153338:0.691593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alfa :@0.156504:0.730288:0.182590:0.730288:0.182590:0.715224:0.156504:0.715224:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.215132:0.730090:0.226864:0.730090:0.226864:0.716716:0.215132:0.716716:0.000000
 :@0.226864:0.730288:0.230646:0.730288:0.230646:0.715224:0.226864:0.715224:0.000000
beta :@0.156504:0.747687:0.189292:0.747687:0.189292:0.732624:0.156504:0.732624:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.215132:0.747489:0.226864:0.747489:0.226864:0.734116:0.215132:0.734116:0.000000
gamma :@0.156504:0.765087:0.209345:0.765087:0.209345:0.750024:0.156504:0.750024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.215132:0.764889:0.225879:0.764889:0.225879:0.751516:0.215132:0.751516:0.000000
delta :@0.156504:0.782487:0.192810:0.782487:0.192810:0.767424:0.156504:0.767424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.215132:0.782289:0.224912:0.782289:0.224912:0.768916:0.215132:0.768916:0.000000
épsilon :@0.156504:0.799887:0.206671:0.799887:0.206671:0.784824:0.156504:0.784824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.215132:0.799689:0.223927:0.799689:0.223927:0.786315:0.215132:0.786315:0.000000
zeta :@0.156504:0.817287:0.186794:0.817287:0.186794:0.802223:0.156504:0.802223:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.215132:0.817088:0.222942:0.817088:0.222942:0.803715:0.215132:0.803715:0.000000
eta :@0.267462:0.730314:0.291349:0.730314:0.291349:0.715251:0.267462:0.715251:0.000000:0.000000:0.000000:0.000000
e:@0.341182:0.730116:0.349977:0.730116:0.349977:0.716743:0.341182:0.716743:0.000000
theta (tita) :@0.267480:0.747714:0.342253:0.747714:0.342253:0.732651:0.267480:0.732651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.341182:0.747516:0.349977:0.747516:0.349977:0.734142:0.341182:0.734142:0.000000
iota :@0.267480:0.765114:0.296415:0.765114:0.296415:0.750050:0.267480:0.750050:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.341199:0.764916:0.348042:0.764916:0.348042:0.751542:0.341199:0.751542:0.000000
kappa :@0.267497:0.782513:0.311068:0.782513:0.311068:0.767450:0.267497:0.767450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.341217:0.782315:0.351965:0.782315:0.351965:0.768942:0.341217:0.768942:0.000000
lambda :@0.267515:0.799913:0.320408:0.799913:0.320408:0.784850:0.267515:0.784850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l:@0.341217:0.799715:0.351965:0.799715:0.351965:0.786342:0.341217:0.786342:0.000000
mu :@0.267515:0.817313:0.293636:0.817313:0.293636:0.802250:0.267515:0.802250:0.000000:0.000000:0.000000
m:@0.341217:0.817115:0.353917:0.817115:0.353917:0.803742:0.341217:0.803742:0.000000