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因為在下只是小學級(可憐不能用HTML功能), 麻煩請看連結Tks.
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M2 Definite Integration
2012-11-19 11:02 pm
回答 (2)
2012-11-19 11:52 pm
✔ 最佳答案
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參考: 原創答案
2012-11-19 11:59 pm
Let t = 1/n, n = 1/t
when n->inf, t->0
lim[n->inf] n sin (π/2n)
= lim[t->0] (1/t) sin (π t /2)
= lim[t->0] [sin (π t /2) / (π t /2)] * (π /2)
= (π /2) lim[π t /2->0] [sin (π t /2) / (π t /2)]
= (π /2) * 1
= π /2
when n->inf, t->0
lim[n->inf] n sin (π/2n)
= lim[t->0] (1/t) sin (π t /2)
= lim[t->0] [sin (π t /2) / (π t /2)] * (π /2)
= (π /2) lim[π t /2->0] [sin (π t /2) / (π t /2)]
= (π /2) * 1
= π /2
收錄日期: 2021-04-16 15:24:02
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20121119000051KK00182