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数学
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求lim(ln(1+x^n)/ln^m(1+x))的极限(x趋于0)
人气:246 ℃ 时间:2020-02-04 23:34:16
解答
用等价无穷小代换
lim(x→0)(ln(1+x^n)/ln^m(1+x))
=lim(x→0)x^n/x^m
=lim(x→0)x^(n-m)
若n>m,则极限为0
若n=m,则极限为1
若n
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