﻿189:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
Otra propiedad de la distancia entre dos números reales es::@0.108233:0.116311:0.527499:0.116311:0.527499:0.099813:0.108233:0.099813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| (:@0.211938:0.133662:0.236212:0.133662:0.236212:0.117164:0.211938:0.117164:0.000000:0.000000:0.000000
d  x, y:@0.216947:0.133777:0.258483:0.133777:0.258483:0.117309:0.216947:0.117309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) –  (:@0.258483:0.133662:0.298343:0.133662:0.298343:0.117164:0.258483:0.117164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d y, z:@0.283219:0.133777:0.319515:0.133777:0.319515:0.117309:0.283219:0.117309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)| ≤ (:@0.319515:0.133662:0.365174:0.133662:0.365174:0.117164:0.319515:0.117164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.345234:0.134211:0.350051:0.134211:0.350051:0.115371:0.345234:0.115371:0.000000
d y, z:@0.350051:0.133777:0.386346:0.133777:0.386346:0.117309:0.350051:0.117309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
),   :@0.386346:0.133662:0.407480:0.133662:0.407480:0.117164:0.386346:0.117164:0.000000:0.000000:0.000000:0.000000:0.000000
x, y, z :@0.418152:0.133777:0.458051:0.133777:0.458051:0.117309:0.418152:0.117309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ :@0.458051:0.134211:0.476603:0.134211:0.476603:0.115371:0.458051:0.115371:0.000000:0.000000
R:@0.476602:0.132457:0.489302:0.132457:0.489302:0.120179:0.476602:0.120179:0.000000
. :@0.489302:0.133662:0.496198:0.133662:0.496198:0.117164:0.489302:0.117164:0.000000:0.000000
Esta desigualdad es consecuencia inmediata de la siguiente::@0.108235:0.151013:0.528289:0.151013:0.528289:0.134515:0.108235:0.134515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|| | – | || ≤ |:@0.241781:0.168363:0.331519:0.168363:0.331519:0.151866:0.241781:0.151866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.251799:0.168479:0.261008:0.168479:0.261008:0.152010:0.251799:0.152010:0.000000
v:@0.289810:0.168479:0.297593:0.168479:0.297593:0.152010:0.289810:0.152010:0.000000
u – v:@0.331519:0.168479:0.366832:0.168479:0.366832:0.152010:0.331519:0.152010:0.000000:0.000000:0.000000:0.000000:0.000000
|,   :@0.366832:0.168363:0.387022:0.168363:0.387022:0.151866:0.366832:0.151866:0.000000:0.000000:0.000000:0.000000:0.000000
u, v :@0.397681:0.168479:0.428222:0.168479:0.428222:0.152010:0.397681:0.152010:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.406890:0.171709:0.409305:0.171709:0.409305:0.162107:0.406890:0.162107:0.000000
∈ :@0.428222:0.168913:0.446775:0.168913:0.446775:0.150073:0.428222:0.150073:0.000000:0.000000
R:@0.446774:0.167158:0.459474:0.167158:0.459474:0.154881:0.446774:0.154881:0.000000
. :@0.459474:0.168363:0.466371:0.168363:0.466371:0.151866:0.459474:0.151866:0.000000:0.000000
Poniendo  = :@0.109000:0.185714:0.207003:0.185714:0.207003:0.169216:0.109000:0.169216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u  x – y, v = z – y:@0.179453:0.185830:0.302924:0.185830:0.302924:0.169361:0.179453:0.169361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la desigualdad precedente, obtenemos: :@0.302674:0.185714:0.599141:0.185714:0.599141:0.169216:0.302674:0.169216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
||:@0.201108:0.203065:0.211125:0.203065:0.211125:0.186567:0.201108:0.186567:0.000000:0.000000
x – y:@0.211125:0.203180:0.244608:0.203180:0.244608:0.186712:0.211125:0.186712:0.000000:0.000000:0.000000:0.000000:0.000000
| – |:@0.244608:0.203065:0.273410:0.203065:0.273410:0.186567:0.244608:0.186567:0.000000:0.000000:0.000000:0.000000:0.000000
z – y:@0.273410:0.203180:0.306065:0.203180:0.306065:0.186712:0.273410:0.186712:0.000000:0.000000:0.000000:0.000000:0.000000
|| ≤ |:@0.306065:0.203065:0.339991:0.203065:0.339991:0.186567:0.306065:0.186567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – y –  z – y:@0.339991:0.203180:0.430403:0.203180:0.430403:0.186712:0.339991:0.186712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.391795:0.203065:0.397748:0.203065:0.397748:0.186567:0.391795:0.186567:0.000000
)| = |:@0.430403:0.203065:0.465465:0.203065:0.465465:0.186567:0.430403:0.186567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – z:@0.465465:0.203180:0.497908:0.203180:0.497908:0.186712:0.465465:0.186712:0.000000:0.000000:0.000000:0.000000:0.000000
| :@0.497908:0.203065:0.507059:0.203065:0.507059:0.186567:0.497908:0.186567:0.000000:0.000000
y tomando en consideración que   (:@0.108249:0.220416:0.366866:0.220416:0.366866:0.203918:0.108249:0.203918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d y, z:@0.351743:0.220531:0.388038:0.220531:0.388038:0.204062:0.351743:0.204062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) =  (:@0.388038:0.220416:0.432348:0.220416:0.432348:0.203918:0.388038:0.203918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d  z, y:@0.413083:0.220531:0.454078:0.220531:0.454078:0.204062:0.413083:0.204062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
), se deduce que::@0.454078:0.220416:0.572673:0.220416:0.572673:0.203918:0.454078:0.203918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| (:@0.258884:0.237766:0.283158:0.237766:0.283158:0.221269:0.258884:0.221269:0.000000:0.000000:0.000000
d  x, y:@0.263893:0.237882:0.305429:0.237882:0.305429:0.221413:0.263893:0.221413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) –   :@0.305429:0.237766:0.343478:0.237766:0.343478:0.221269:0.305429:0.221269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d (y, z):@0.330165:0.237882:0.375516:0.237882:0.375516:0.221413:0.330165:0.221413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| ≤ (:@0.375516:0.237766:0.415222:0.237766:0.415222:0.221269:0.375516:0.221269:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.395282:0.238316:0.400098:0.238316:0.400098:0.219476:0.395282:0.219476:0.000000
d x, z:@0.400098:0.237882:0.436452:0.237882:0.436452:0.221413:0.400098:0.221413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
).:@0.436452:0.237766:0.445160:0.237766:0.445160:0.221269:0.436452:0.221269:0.000000:0.000000
 :@0.108249:0.255117:0.112391:0.255117:0.112391:0.238619:0.108249:0.238619:0.000000
Ejercicio resuelto:@0.108249:0.272844:0.226228:0.272844:0.226228:0.256057:0.108249:0.256057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108249:0.290035:0.120521:0.290035:0.120521:0.273321:0.108249:0.273321:0.000000:0.000000
  :@0.120521:0.290281:0.128575:0.290281:0.128575:0.273335:0.120521:0.273335:0.000000:0.000000
Sean   = –2,5;  = –2,5 +       :@0.131985:0.289819:0.349692:0.289819:0.349692:0.273321:0.131985:0.273321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.169552:0.289934:0.177027:0.289934:0.177027:0.273465:0.169552:0.273465:0.000000
0:@0.177017:0.293096:0.181970:0.293096:0.181970:0.283478:0.177017:0.283478:0.000000
x :@0.237510:0.289934:0.249127:0.289934:0.249127:0.273465:0.237510:0.273465:0.000000:0.000000
h, h:@0.312472:0.289934:0.345550:0.289934:0.345550:0.273465:0.312472:0.273465:0.000000:0.000000:0.000000:0.000000
∈ :@0.349461:0.290368:0.368013:0.290368:0.368013:0.271528:0.349461:0.271528:0.000000:0.000000
R:@0.367733:0.288613:0.380433:0.288613:0.380433:0.276336:0.367733:0.276336:0.000000
. Calculemos las distancias que :@0.380433:0.289819:0.599920:0.289819:0.599920:0.273321:0.380433:0.273321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se muestran en la tabla 1: :@0.131969:0.307169:0.315123:0.307169:0.315123:0.290672:0.131969:0.290672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.324520:0.112376:0.324520:0.112376:0.308022:0.108234:0.308022:0.000000
d:@0.131970:0.324636:0.141140:0.324636:0.141140:0.308167:0.131970:0.308167:0.000000
(–2,5; –2,49) = |–2,5 – (–2,49)| = 2,5 – 2,49 = 0,01;:@0.141140:0.324520:0.493675:0.324520:0.493675:0.308022:0.141140:0.308022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.341871:0.112376:0.341871:0.112376:0.325373:0.108234:0.325373:0.000000
d:@0.131970:0.341986:0.141140:0.341986:0.141140:0.325518:0.131970:0.325518:0.000000
(–2,5; –2,495) = |–2,5 – (–2,495)| = 2,5 – 2,495 = 0,005;:@0.141140:0.341871:0.527659:0.341871:0.527659:0.325373:0.141140:0.325373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.359222:0.112376:0.359222:0.112376:0.342724:0.108234:0.342724:0.000000
d:@0.131970:0.359337:0.141140:0.359337:0.141140:0.342868:0.131970:0.342868:0.000000
(–2,5; –2,499 9) = |–2,5 – (–2,499 9)| = 2,5 – 2,499 9 = 0,000 1;:@0.141140:0.359222:0.578211:0.359222:0.578211:0.342724:0.141140:0.342724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.376572:0.112376:0.376572:0.112376:0.360075:0.108234:0.360075:0.000000
d:@0.131970:0.376688:0.141140:0.376688:0.141140:0.360219:0.131970:0.360219:0.000000
(–2,5; –2,499 98) = |–2,5 – (–2,499 998)| = 2,5 – 2,499 998 = 0,000 002; :@0.140562:0.376572:0.599923:0.376572:0.599923:0.360075:0.140562:0.360075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.411274:0.112376:0.411274:0.112376:0.394776:0.108234:0.394776:0.000000
Observamos que los números reales –2,49; –2,495; –2,499 9;  :@0.131970:0.411274:0.599903:0.411274:0.599903:0.394776:0.131970:0.394776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,499 998 se aproximan cada vez más a –2,5. Para   > 0 y :@0.131970:0.428625:0.516350:0.428625:0.516350:0.412127:0.131970:0.412127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.467474:0.428740:0.476875:0.428740:0.476875:0.412272:0.467474:0.412272:0.000000
 :@0.490014:0.429174:0.494831:0.429174:0.494831:0.410334:0.490014:0.410334:0.000000
x = :@0.515252:0.428740:0.540027:0.428740:0.540027:0.412272:0.515252:0.412272:0.000000:0.000000:0.000000:0.000000
–2,5 +   :@0.538929:0.428625:0.599884:0.428625:0.599884:0.412127:0.538929:0.412127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h,:@0.584144:0.428740:0.595704:0.428740:0.595704:0.412272:0.584144:0.412272:0.000000:0.000000
 :@0.595742:0.428625:0.599884:0.428625:0.599884:0.412127:0.595742:0.412127:0.000000
se  tiene :@0.131950:0.445975:0.193339:0.445975:0.193339:0.429478:0.131950:0.429478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.196315:0.446091:0.209628:0.446091:0.209628:0.429622:0.196315:0.429622:0.000000:0.000000
(–2,5; ) :@0.212614:0.445975:0.276257:0.445975:0.276257:0.429478:0.212614:0.429478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  x =  d :@0.251568:0.446091:0.310549:0.446091:0.310549:0.429622:0.251568:0.429622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–2,5;:@0.313525:0.445975:0.352480:0.445975:0.352480:0.429478:0.313525:0.429478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  –2,5  +  h:@0.352480:0.446091:0.423154:0.446091:0.423154:0.429622:0.352480:0.429622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)  =  |–2,5  +    –  (–2,5)| :@0.423154:0.445975:0.599884:0.445975:0.599884:0.429478:0.423154:0.429478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.514443:0.446091:0.523844:0.446091:0.523844:0.429622:0.514443:0.429622:0.000000
 :@0.595742:0.445975:0.599884:0.445975:0.599884:0.429478:0.595742:0.429478:0.000000
= –2,5 +  –(–2,5) =:@0.131950:0.463326:0.277384:0.463326:0.277384:0.446828:0.131950:0.446828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 h:@0.192096:0.463442:0.205640:0.463442:0.205640:0.446973:0.192096:0.446973:0.000000:0.000000
 h.:@0.277384:0.463442:0.293470:0.463442:0.293470:0.446973:0.277384:0.446973:0.000000:0.000000:0.000000
 :@0.108215:0.480677:0.112357:0.480677:0.112357:0.464179:0.108215:0.464179:0.000000
 :@0.108215:0.498028:0.112357:0.498028:0.112357:0.481530:0.108215:0.481530:0.000000
Si asignamos valores a   > 0 cada vez más próximos a cero, ten-:@0.131949:0.498028:0.595722:0.498028:0.595722:0.481530:0.131949:0.481530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.296244:0.498143:0.305645:0.498143:0.305645:0.481675:0.296244:0.481675:0.000000
dremos que x = – 2,5 +   se aproxima cada vez más a x  = –2,5.  :@0.131949:0.515378:0.599911:0.515378:0.599911:0.498881:0.131949:0.498881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.308496:0.515494:0.317898:0.515494:0.317898:0.499025:0.308496:0.499025:0.000000
0:@0.536738:0.518656:0.541691:0.518656:0.541691:0.509038:0.536738:0.509038:0.000000
En la tabla 1 se muestran algunos de estos valores y :@0.131977:0.532729:0.498996:0.532729:0.498996:0.516231:0.131977:0.516231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108242:0.550080:0.112384:0.550080:0.112384:0.533582:0.108242:0.533582:0.000000
d:@0.131976:0.550196:0.141146:0.550196:0.141146:0.533727:0.131976:0.533727:0.000000
 (–2,5,  ) :@0.141146:0.550080:0.205955:0.550080:0.205955:0.533582:0.141146:0.533582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = |:@0.188385:0.550196:0.225817:0.550196:0.225817:0.533727:0.188385:0.533727:0.000000:0.000000:0.000000:0.000000:0.000000
–2,5:@0.225817:0.550080:0.256064:0.550080:0.256064:0.533582:0.225817:0.533582:0.000000:0.000000:0.000000:0.000000
 –(–:@0.256064:0.550196:0.285713:0.550196:0.285713:0.533727:0.256064:0.533727:0.000000:0.000000:0.000000:0.000000
2,5 +  | =   :@0.285713:0.550080:0.383523:0.550080:0.383523:0.533582:0.285713:0.533582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 h)   h.:@0.320410:0.550196:0.379381:0.550196:0.379381:0.533727:0.320410:0.533727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.108241:0.584998:0.120513:0.584998:0.120513:0.568284:0.108241:0.568284:0.000000:0.000000
 :@0.120513:0.585244:0.124540:0.585244:0.124540:0.568298:0.120513:0.568298:0.000000
  Sean   = 3,2;     = 3,2 +  ,   :@0.124540:0.584781:0.316692:0.584781:0.316692:0.568284:0.124540:0.568284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.168985:0.584897:0.176460:0.584897:0.176460:0.568428:0.168985:0.568428:0.000000
0:@0.176456:0.588127:0.181162:0.588127:0.181162:0.578526:0.176456:0.578526:0.000000
y:@0.231232:0.584897:0.238918:0.584897:0.238918:0.568428:0.231232:0.568428:0.000000
h h :@0.293690:0.584897:0.329446:0.584897:0.329446:0.568428:0.293690:0.568428:0.000000:0.000000:0.000000:0.000000
∈ :@0.328598:0.585331:0.347151:0.585331:0.347151:0.566491:0.328598:0.566491:0.000000:0.000000
R:@0.346233:0.583576:0.358933:0.583576:0.358933:0.571299:0.346233:0.571299:0.000000
. En la tabla 2 se muestran algunos :@0.358933:0.584781:0.599937:0.584781:0.599937:0.568284:0.358933:0.568284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores de  > 0, de :@0.131969:0.602132:0.273162:0.602132:0.273162:0.585634:0.131969:0.585634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.207275:0.602248:0.220818:0.602248:0.220818:0.585779:0.207275:0.585779:0.000000:0.000000
y = :@0.273162:0.602248:0.300018:0.602248:0.300018:0.585779:0.273162:0.585779:0.000000:0.000000:0.000000:0.000000
3,2 +   y la distancia :@0.300018:0.602132:0.446915:0.602132:0.446915:0.585634:0.300018:0.585634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.338856:0.602248:0.348258:0.602248:0.348258:0.585779:0.338856:0.585779:0.000000
 :@0.108233:0.619483:0.112375:0.619483:0.112375:0.602985:0.108233:0.602985:0.000000
d :@0.131968:0.619599:0.145280:0.619599:0.145280:0.603130:0.131968:0.603130:0.000000:0.000000
(3,2;  ) = |3,2 – (3,2 +  ) | = :@0.145280:0.619483:0.342537:0.619483:0.342537:0.602985:0.145280:0.602985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.177877:0.619599:0.185564:0.619599:0.185564:0.603130:0.177877:0.603130:0.000000
h:@0.298940:0.619599:0.308341:0.619599:0.308341:0.603130:0.298940:0.603130:0.000000
h.:@0.342537:0.619599:0.354482:0.619599:0.354482:0.603130:0.342537:0.603130:0.000000:0.000000
 :@0.108233:0.654184:0.112375:0.654184:0.112375:0.637687:0.108233:0.637687:0.000000
Observamos que para valores de  > 0 que tienden a cero,:@0.131968:0.654184:0.544815:0.654184:0.544815:0.637687:0.131968:0.637687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.368404:0.654300:0.381948:0.654300:0.381948:0.637831:0.368404:0.637831:0.000000:0.000000
 :@0.108233:0.671535:0.112375:0.671535:0.112375:0.655037:0.108233:0.655037:0.000000
y :@0.131968:0.671651:0.143797:0.671651:0.143797:0.655182:0.131968:0.655182:0.000000:0.000000
= 3,2 +  tiende a 3,2. Nota que para valores de  > 0 cada vez :@0.144490:0.671535:0.599871:0.671535:0.599871:0.655037:0.144490:0.655037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.200379:0.671651:0.213922:0.671651:0.213922:0.655182:0.200379:0.655182:0.000000:0.000000
h :@0.490847:0.671651:0.504390:0.671651:0.504390:0.655182:0.490847:0.655182:0.000000:0.000000
más pequeños, se tiene que  (3,2; ) =   (3,2; 3,2 +  ) =   son :@0.131929:0.688886:0.599786:0.688886:0.599786:0.672388:0.131929:0.672388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.340510:0.689002:0.353823:0.689002:0.353823:0.672533:0.340510:0.672533:0.000000:0.000000
 y:@0.383957:0.689002:0.397424:0.689002:0.397424:0.672533:0.383957:0.672533:0.000000:0.000000
d:@0.425744:0.689002:0.434914:0.689002:0.434914:0.672533:0.425744:0.672533:0.000000
h:@0.517042:0.689002:0.526443:0.689002:0.526443:0.672533:0.517042:0.672533:0.000000
h:@0.554763:0.689002:0.564165:0.689002:0.564165:0.672533:0.554763:0.672533:0.000000
igualmente cada vez más pequeños.:@0.131929:0.706237:0.387306:0.706237:0.387306:0.689739:0.131929:0.689739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.108195:0.741155:0.120466:0.741155:0.120466:0.724440:0.108195:0.724440:0.000000:0.000000
 :@0.120467:0.741401:0.124494:0.741401:0.124494:0.724455:0.120467:0.724455:0.000000
Sea   = 0,3. Consideramos  = 0,3 + :@0.131929:0.740938:0.402906:0.740938:0.402906:0.724440:0.131929:0.724440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.161810:0.741054:0.169285:0.741054:0.169285:0.724585:0.161810:0.724585:0.000000
0:@0.169329:0.744284:0.174035:0.744284:0.174035:0.734682:0.169329:0.734682:0.000000
y :@0.332451:0.741054:0.344280:0.741054:0.344280:0.724585:0.332451:0.724585:0.000000:0.000000
h,  h :@0.404524:0.741054:0.441514:0.741054:0.441514:0.724585:0.404524:0.724585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ :@0.443132:0.741488:0.461684:0.741488:0.461684:0.722648:0.443132:0.722648:0.000000:0.000000
R:@0.463563:0.739733:0.476263:0.739733:0.476263:0.727455:0.463563:0.727455:0.000000
. En la tabla 3 se :@0.476263:0.740938:0.599927:0.740938:0.599927:0.724440:0.476263:0.724440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestran algunos valores de  < 0, de  = 0,3 +  y la distancia  :@0.131974:0.758289:0.599869:0.758289:0.599869:0.741791:0.131974:0.741791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.344148:0.758405:0.357691:0.758405:0.357691:0.741936:0.344148:0.741936:0.000000:0.000000
y :@0.415905:0.758405:0.427734:0.758405:0.427734:0.741936:0.415905:0.741936:0.000000:0.000000
h :@0.487398:0.758405:0.500942:0.758405:0.500942:0.741936:0.487398:0.741936:0.000000:0.000000
d :@0.131935:0.775755:0.145247:0.775755:0.145247:0.759287:0.131935:0.759287:0.000000:0.000000
(0,3; y) =  (0,3; 0,3 +  ) =| 0,3 – (0,3 +  )|= :@0.145247:0.775640:0.453549:0.775640:0.453549:0.759142:0.145247:0.759142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.210711:0.775755:0.224023:0.775755:0.224023:0.759287:0.210711:0.759287:0.000000:0.000000
h:@0.295459:0.775755:0.304860:0.775755:0.304860:0.759287:0.295459:0.759287:0.000000
h:@0.418236:0.775755:0.427638:0.775755:0.427638:0.759287:0.418236:0.759287:0.000000
–h:@0.453549:0.775755:0.472988:0.775755:0.472988:0.759287:0.453549:0.759287:0.000000:0.000000
. :@0.472988:0.775640:0.479885:0.775640:0.479885:0.759142:0.472988:0.759142:0.000000:0.000000
 :@0.108200:0.792990:0.112342:0.792990:0.112342:0.776493:0.108200:0.776493:0.000000
Los resultados de la tabla muestran que para  < 0 y   que se :@0.131934:0.792990:0.599887:0.792990:0.599887:0.776493:0.131934:0.776493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.470246:0.793106:0.483789:0.793106:0.483789:0.776637:0.470246:0.776637:0.000000:0.000000
h:@0.532093:0.793106:0.541494:0.793106:0.541494:0.776637:0.532093:0.776637:0.000000
aproxima a cero,  = 0,3 +    se aproxima cada vez a 0,3.:@0.131934:0.810341:0.524346:0.810341:0.524346:0.793843:0.131934:0.793843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.251995:0.810457:0.263824:0.810457:0.263824:0.793988:0.251995:0.793988:0.000000:0.000000
h:@0.317613:0.810457:0.327014:0.810457:0.327014:0.793988:0.317613:0.793988:0.000000
Sean < 0,  y  :@0.131934:0.827692:0.233867:0.827692:0.233867:0.811194:0.131934:0.811194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.169733:0.827808:0.183276:0.827808:0.183276:0.811339:0.169733:0.811339:0.000000:0.000000
x = :@0.233867:0.827808:0.260511:0.827808:0.260511:0.811339:0.233867:0.811339:0.000000:0.000000:0.000000:0.000000
x  +  entonces  <   ,  y :@0.260511:0.827692:0.443669:0.827692:0.443669:0.811194:0.260511:0.811194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.268545:0.830970:0.273498:0.830970:0.273498:0.821352:0.268545:0.821352:0.000000
h, :@0.292591:0.827808:0.308677:0.827808:0.308677:0.811339:0.292591:0.811339:0.000000:0.000000:0.000000
x  x:@0.377531:0.827808:0.411573:0.827808:0.411573:0.811339:0.377531:0.811339:0.000000:0.000000:0.000000:0.000000
0:@0.411570:0.830970:0.416524:0.830970:0.416524:0.821352:0.411570:0.821352:0.000000
 :@0.108241:0.845043:0.112383:0.845043:0.112383:0.828545:0.108241:0.828545:0.000000
d  x, x = d x:@0.131976:0.845158:0.230115:0.845158:0.230115:0.828690:0.131976:0.828690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.145289:0.845043:0.151241:0.845043:0.151241:0.828545:0.145289:0.828545:0.000000
0:@0.173299:0.848321:0.178253:0.848321:0.178253:0.838702:0.173299:0.838702:0.000000
) :@0.178253:0.845043:0.188348:0.845043:0.188348:0.828545:0.178253:0.828545:0.000000:0.000000
 (  +  ,  ) :@0.212545:0.845043:0.292978:0.845043:0.292978:0.828545:0.212545:0.828545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.230113:0.848321:0.235067:0.848321:0.235067:0.838702:0.230113:0.838702:0.000000
h x = x:@0.254159:0.845158:0.315480:0.845158:0.315480:0.828690:0.254159:0.828690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.277931:0.848321:0.282885:0.848321:0.282885:0.838702:0.277931:0.838702:0.000000
0:@0.315480:0.848321:0.320433:0.848321:0.320433:0.838702:0.315480:0.838702:0.000000
 – ( + :@0.320432:0.845043:0.374961:0.845043:0.374961:0.828545:0.320432:0.828545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.345169:0.845158:0.352644:0.845158:0.352644:0.828690:0.345169:0.828690:0.000000
0 :@0.352644:0.848321:0.360012:0.848321:0.360012:0.838702:0.352644:0.838702:0.000000:0.000000
h) = x x:@0.374961:0.845158:0.441781:0.845158:0.441781:0.828690:0.374961:0.828690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  –  –  = –  > 0.:@0.404823:0.845043:0.544254:0.845043:0.544254:0.828545:0.404823:0.828545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 :@0.416439:0.848321:0.423807:0.848321:0.423807:0.838702:0.416439:0.838702:0.000000:0.000000
0:@0.441780:0.848321:0.446733:0.848321:0.446733:0.838702:0.441780:0.838702:0.000000
h :@0.465517:0.845158:0.479061:0.845158:0.479061:0.828690:0.465517:0.828690:0.000000:0.000000
h:@0.504510:0.845158:0.513912:0.845158:0.513912:0.828690:0.504510:0.828690:0.000000
 :@0.108243:0.862393:0.112385:0.862393:0.112385:0.845896:0.108243:0.845896:0.000000
 :@0.108243:0.879744:0.112385:0.879744:0.112385:0.863247:0.108243:0.863247:0.000000
Para valores de   < 0  y    cada vez más próximos de cero, :@0.131978:0.879744:0.554927:0.879744:0.554927:0.863247:0.131978:0.863247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.243676:0.879860:0.253077:0.879860:0.253077:0.863391:0.243676:0.863391:0.000000
h:@0.308870:0.879860:0.318271:0.879860:0.318271:0.863391:0.308870:0.863391:0.000000
x + h:@0.555563:0.879860:0.595772:0.879860:0.595772:0.863391:0.555563:0.863391:0.000000:0.000000:0.000000:0.000000:0.000000
0 :@0.562972:0.883022:0.570340:0.883022:0.570340:0.873404:0.562972:0.873404:0.000000:0.000000
  :@0.595772:0.879744:0.599914:0.879744:0.599914:0.863247:0.595772:0.863247:0.000000:0.000000
es cada vez más próximo de  . :@0.131980:0.897095:0.354932:0.897095:0.354932:0.880597:0.131980:0.880597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.335610:0.897211:0.343085:0.897211:0.343085:0.880742:0.335610:0.880742:0.000000
0:@0.343082:0.900373:0.348035:0.900373:0.348035:0.890755:0.343082:0.890755:0.000000
h:@0.636126:0.102012:0.644486:0.102012:0.644486:0.087415:0.636126:0.087415:0.000000
x:@0.708513:0.102012:0.715265:0.102012:0.715265:0.087415:0.708513:0.087415:0.000000
 = –2,5 + :@0.714846:0.101874:0.772038:0.101874:0.772038:0.087340:0.714846:0.087340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.771620:0.102012:0.779979:0.102012:0.779979:0.087415:0.771620:0.087415:0.000000
d :@0.801121:0.102012:0.812696:0.102012:0.812696:0.087415:0.801121:0.087415:0.000000:0.000000
(–2,5;  ):@0.812278:0.101874:0.860659:0.101874:0.860659:0.087340:0.812278:0.087340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.848865:0.102012:0.855616:0.102012:0.855616:0.087415:0.848865:0.087415:0.000000
0,1:@0.636126:0.124300:0.653804:0.124300:0.653804:0.109237:0.636126:0.109237:0.000000:0.000000:0.000000
–2,4:@0.708527:0.124300:0.735615:0.124300:0.735615:0.109237:0.708527:0.109237:0.000000:0.000000:0.000000:0.000000
0,1 :@0.801121:0.124300:0.822579:0.124300:0.822579:0.109237:0.801121:0.109237:0.000000:0.000000:0.000000:0.000000
0,01:@0.636126:0.145687:0.661385:0.145687:0.661385:0.130624:0.636126:0.130624:0.000000:0.000000:0.000000:0.000000
–2,49:@0.708527:0.145687:0.743197:0.145687:0.743197:0.130624:0.708527:0.130624:0.000000:0.000000:0.000000:0.000000:0.000000
0,01:@0.801121:0.145687:0.826380:0.145687:0.826380:0.130624:0.801121:0.130624:0.000000:0.000000:0.000000:0.000000
0,005:@0.636126:0.167073:0.668967:0.167073:0.668967:0.152010:0.636126:0.152010:0.000000:0.000000:0.000000:0.000000:0.000000
–2,495:@0.708527:0.167073:0.750778:0.167073:0.750778:0.152010:0.708527:0.152010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,005:@0.801119:0.167073:0.833959:0.167073:0.833959:0.152010:0.801119:0.152010:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 1:@0.636126:0.188460:0.680154:0.188460:0.680154:0.173397:0.636126:0.173397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,499 9:@0.708527:0.188460:0.761965:0.188460:0.761965:0.173397:0.708527:0.173397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 1:@0.801119:0.188460:0.845147:0.188460:0.845147:0.173397:0.801119:0.173397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 01:@0.636126:0.209847:0.687735:0.209847:0.687735:0.194784:0.636126:0.194784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,499 99:@0.708527:0.209847:0.769546:0.209847:0.769546:0.194784:0.708527:0.194784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 01:@0.801119:0.209847:0.852728:0.209847:0.852728:0.194784:0.801119:0.194784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 002 –2,499 998:@0.636126:0.231233:0.777128:0.231233:0.777128:0.216170:0.636126:0.216170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 002:@0.801121:0.231233:0.860311:0.231233:0.860311:0.216170:0.801121:0.216170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.822869:0.247597:0.834349:0.247597:0.834349:0.237572:0.822869:0.237572:0.000000
 :@0.834349:0.248304:0.837230:0.248304:0.837230:0.236828:0.834349:0.236828:0.000000
Tabla 1:@0.837230:0.248304:0.872075:0.248304:0.872075:0.236828:0.837230:0.236828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.636126:0.291881:0.644151:0.291881:0.644151:0.277284:0.636126:0.277284:0.000000
y:@0.720397:0.291881:0.727088:0.291881:0.727088:0.277284:0.720397:0.277284:0.000000
 = –3,2 + :@0.726284:0.291743:0.777570:0.291743:0.777570:0.277208:0.726284:0.277208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h d :@0.776766:0.291881:0.811053:0.291881:0.811053:0.277284:0.776766:0.277284:0.000000:0.000000:0.000000:0.000000
(3,2;  ) = h:@0.810651:0.291743:0.871587:0.291743:0.871587:0.277208:0.810651:0.277208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.837380:0.291881:0.844070:0.291881:0.844070:0.277284:0.837380:0.277284:0.000000
0,1:@0.636126:0.314169:0.653804:0.314169:0.653804:0.299106:0.636126:0.299106:0.000000:0.000000:0.000000
3,3:@0.720400:0.314169:0.738078:0.314169:0.738078:0.299106:0.720400:0.299106:0.000000:0.000000:0.000000
0,1 :@0.799942:0.314169:0.821402:0.314169:0.821402:0.299106:0.799942:0.299106:0.000000:0.000000:0.000000:0.000000
0,01:@0.636126:0.335555:0.661385:0.335555:0.661385:0.320492:0.636126:0.320492:0.000000:0.000000:0.000000:0.000000
3,21:@0.720400:0.335555:0.745659:0.335555:0.745659:0.320492:0.720400:0.320492:0.000000:0.000000:0.000000:0.000000
0,01:@0.799942:0.335555:0.825201:0.335555:0.825201:0.320492:0.799942:0.320492:0.000000:0.000000:0.000000:0.000000
0,001:@0.636126:0.356942:0.668967:0.356942:0.668967:0.341879:0.636126:0.341879:0.000000:0.000000:0.000000:0.000000:0.000000
3,201:@0.720400:0.356942:0.753241:0.356942:0.753241:0.341879:0.720400:0.341879:0.000000:0.000000:0.000000:0.000000:0.000000
0,001:@0.799942:0.356942:0.832783:0.356942:0.832783:0.341879:0.799942:0.341879:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 2:@0.636126:0.378329:0.680154:0.378329:0.680154:0.363266:0.636126:0.363266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,2002:@0.720400:0.378329:0.760822:0.378329:0.760822:0.363266:0.720400:0.363266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 2:@0.799942:0.378329:0.843970:0.378329:0.843970:0.363266:0.799942:0.363266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 04:@0.636126:0.399715:0.687735:0.399715:0.687735:0.384652:0.636126:0.384652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,20004:@0.720400:0.399715:0.768403:0.399715:0.768403:0.384652:0.720400:0.384652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 04:@0.799942:0.399715:0.851551:0.399715:0.851551:0.384652:0.799942:0.384652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 000 1 3,2000001 0,000 001:@0.636126:0.421102:0.859132:0.421102:0.859132:0.406039:0.636126:0.406039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.829569:0.437993:0.841050:0.437993:0.841050:0.427969:0.829569:0.427969:0.000000
 :@0.841050:0.438701:0.843931:0.438701:0.843931:0.427225:0.841050:0.427225:0.000000
Tabla 2:@0.843931:0.438701:0.878776:0.438701:0.878776:0.427225:0.843931:0.427225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.636126:0.482278:0.644235:0.482278:0.644235:0.467681:0.636126:0.467681:0.000000
y:@0.726329:0.482278:0.733089:0.482278:0.733089:0.467681:0.726329:0.467681:0.000000
 = 0,3 + :@0.732276:0.482140:0.776021:0.482140:0.776021:0.467605:0.732276:0.467605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.775208:0.482278:0.783317:0.482278:0.783317:0.467681:0.775208:0.467681:0.000000
d :@0.809431:0.482278:0.820253:0.482278:0.820253:0.467681:0.809431:0.467681:0.000000:0.000000
(0,3;  )= –:@0.819440:0.482140:0.874446:0.482140:0.874446:0.467605:0.819440:0.467605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.844010:0.482278:0.850770:0.482278:0.850770:0.467681:0.844010:0.467681:0.000000
h:@0.873634:0.482278:0.881742:0.482278:0.881742:0.467681:0.873634:0.467681:0.000000
–0,2:@0.636126:0.504567:0.662687:0.504567:0.662687:0.489504:0.636126:0.489504:0.000000:0.000000:0.000000:0.000000
0,1:@0.726328:0.504567:0.743654:0.504567:0.743654:0.489504:0.726328:0.489504:0.000000:0.000000:0.000000
0,2 :@0.809423:0.504567:0.830531:0.504567:0.830531:0.489504:0.809423:0.489504:0.000000:0.000000:0.000000:0.000000
–0,05:@0.636126:0.525954:0.670093:0.525954:0.670093:0.510890:0.636126:0.510890:0.000000:0.000000:0.000000:0.000000:0.000000
0,25:@0.726328:0.525954:0.751059:0.525954:0.751059:0.510890:0.726328:0.510890:0.000000:0.000000:0.000000:0.000000
0,05:@0.809423:0.525954:0.834155:0.525954:0.834155:0.510890:0.809423:0.510890:0.000000:0.000000:0.000000:0.000000
–0,001:@0.636126:0.547340:0.677498:0.547340:0.677498:0.532277:0.636126:0.532277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,299:@0.726328:0.547340:0.758465:0.547340:0.758465:0.532277:0.726328:0.532277:0.000000:0.000000:0.000000:0.000000:0.000000
0,001:@0.809425:0.547340:0.841562:0.547340:0.841562:0.532277:0.809425:0.532277:0.000000:0.000000:0.000000:0.000000:0.000000
–0,000 025:@0.636126:0.568727:0.703144:0.568727:0.703144:0.553664:0.636126:0.553664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,299 995:@0.726328:0.568727:0.784111:0.568727:0.784111:0.553664:0.726328:0.553664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 025:@0.809425:0.568727:0.867208:0.568727:0.867208:0.553664:0.809425:0.553664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,000 0001 0,299 999 9 0,000 0001:@0.636126:0.590114:0.874614:0.590114:0.874614:0.575050:0.636126:0.575050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.839396:0.608620:0.850877:0.608620:0.850877:0.598596:0.839396:0.598596:0.000000
 :@0.850877:0.609328:0.853758:0.609328:0.853758:0.597852:0.850877:0.597852:0.000000
Tabla 3:@0.853758:0.609328:0.888603:0.609328:0.888603:0.597852:0.853758:0.597852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.684804:0.657694:0.827156:0.657694:0.827156:0.642221:0.684804:0.642221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para profundizar sobre :@0.685042:0.686321:0.835682:0.686321:0.835682:0.671258:0.685042:0.671258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el estudio de valor absoluto :@0.638498:0.702163:0.821325:0.702163:0.821325:0.687100:0.638498:0.687100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y distancia entre dos puntos, :@0.638498:0.718005:0.827589:0.718005:0.827589:0.702942:0.638498:0.702942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visita:@0.638498:0.734269:0.675682:0.734269:0.675682:0.718797:0.638498:0.718797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la siguiente página::@0.675684:0.733847:0.800940:0.733847:0.800940:0.718784:0.675684:0.718784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/11m09:@0.638498:0.757148:0.736387:0.757148:0.736387:0.741834:0.638498:0.741834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000