lim [ sinx / (π -x) ]
x→π
evaluate the following limit
f.5 m2 maths~
2012-10-17 7:12 am
回答 (1)
2012-10-17 7:29 am
✔ 最佳答案
Set y = π -x :lim [ sinx / (π -x) ]
x→π
= lim [ sin(π - y) / y ]
y→0
= lim [ siny / y ]
y→0
= 1
2012-10-16 23:35:38 補充：
Tips :
When x → π ,
y = π -x → π - π = 0.
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20121016000051KK00596