F.4 M2 Limits
2011-05-08 4:54 pm
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Evaluate the above limits.
回答 (2)
2011-05-08 5:54 pm
2011-05-08 5:49 pm
1. lim(x->π/2)_Cosx/(π－2x) 0/0 type
=lim(x-π/2)_－Sinx/(－2)
=(1/2)
2.lim(x->0)_[e^x－e^(－x)]/｛x[e^x+e^(－x)]｝ 0/0 type
=lim(x->0)_[e^(x)+e^(－x)]/｛x[e^x－e^(－x)]+[e^x+e^(－x)]｝
=(1+1)/[0+(1+1)]
=1
=lim(x-π/2)_－Sinx/(－2)
=(1/2)
2.lim(x->0)_[e^x－e^(－x)]/｛x[e^x+e^(－x)]｝ 0/0 type
=lim(x->0)_[e^(x)+e^(－x)]/｛x[e^x－e^(－x)]+[e^x+e^(－x)]｝
=(1+1)/[0+(1+1)]
=1
收錄日期: 2021-04-23 20:44:00
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110508000051KK00245