infinite sum

2007-05-10 3:21 pm
anyone know the solution for this question?
n/4=1-1/3+1/5-1/7+1/9......and so on
i need to prove n.ask

回答 (3)

2007-05-10 3:32 pm
✔ 最佳答案
n/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...

n= 4(1/1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ... )
= 2(2/1 x 2/3 x 4/3 x 4/5 x 6/5 x 6/7 x 8/7 x 8/9 x ... )
≈ 3.14159 26535 89793 23846 26433 83279 50288...
2007-05-15 4:39 am
chun2yau,點解你情願揀阿一果個答咗等於冇答嘅回答都唔願意揀myisland8132果個貼切嘅回答做「最佳解答」?
2007-05-11 3:25 pm
n=π 證明如下 [要知道1/(1+x^2) 的積分是arctanx]

圖片參考:http://in.geocities.com/myisland8132/7007051000577.gif


收錄日期: 2021-04-25 16:54:58
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070510000051KK00577

檢視 Wayback Machine 備份