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求当x趋于0时lim(1+sinx)^(2/x);lim1-cos2x/(sin^2）3x的极限；当x趋于无穷时lim(x-1)(sin1/x-1)的极限
题目详情
求当x趋于0时lim(1+sinx)^(2/x);lim1-cos2x/(sin^2）3x的极限；当x趋于无穷时lim(x-1)(sin1/x-1)的极限
▼优质解答
答案和解析
lim(1+sinx)^(2/x)=e^2
lim1-cos2x/(sin^2）3x=1/18
lim(x-1)(sin1/x-1)=1
lim1-cos2x/(sin^2）3x=1/18
lim(x-1)(sin1/x-1)=1
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