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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ ¤é¹ËÒã¹ËÑÇ¢é͹Õé
  #1  
Old 19 ÊÔ§ËÒ¤Á 2014, 19:42
Black Joker. Black Joker. äÁèÍÂÙèã¹Ãкº
àÃÔèÁ½Ö¡ÇÃÂØ·¸ì
 
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Default ͹ءÃÁ

͹ءÃÁ???·Ó䧤ÃѺ

ãËé $A = \frac{1}{1^2} + \frac{1}{3^2} + \frac{1}{5^2} + ...$

áÅÐ $B = \frac{1}{2^2} + \frac{1}{4^2} + \frac{1}{6^2} + ... $

¨§ËÒÇèÒ $\frac{A}{B} = ?$

20 ÊÔ§ËÒ¤Á 2014 19:09 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ gon
  #2  
Old 19 ÊÔ§ËÒ¤Á 2014, 21:54
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gon gon äÁèÍÂÙèã¹Ãкº
¼Ùé¾Ô·Ñ¡Éì¡®¢Ñé¹ÊÙ§
 
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$B = \frac{1}{2^2}(\frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + ...)$

´Ñ§¹Ñé¹

$B = \frac{1}{4}(A+B)$
  #3  
Old 19 ÊÔ§ËÒ¤Á 2014, 22:12
Black Joker. Black Joker. äÁèÍÂÙèã¹Ãкº
àÃÔèÁ½Ö¡ÇÃÂØ·¸ì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 30 ÁԶعÒ¹ 2014
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áÅéÇ䧵èÍ
  #4  
Old 19 ÊÔ§ËÒ¤Á 2014, 22:17
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gon gon äÁèÍÂÙèã¹Ãкº
¼Ùé¾Ô·Ñ¡Éì¡®¢Ñé¹ÊÙ§
 
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ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ Black Joker. View Post
áÅéÇ䧵èÍ
á¡éÊÁ¡ÒÃà»ç¹ËÃ×Íà»ÅèÒ¤ÃѺ.

àªè¹ ¶éÒÁÕ $3A = 2B$ áÅéǨÐä´éÇèÒ $\frac{A}{B} = ?$
  #5  
Old 19 ÊÔ§ËÒ¤Á 2014, 22:22
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batsu batsu äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³ºÃÔÊØ·¸Ôì
 
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B=(1/4)A+(1/4)B
=(3/4)B=(1/4)A
=B=(1/3)A
;3B=A
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