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lim(x→0)(sinx/x)^(1/1-cosx)等于
人气:246 ℃ 时间:2020-02-04 09:15:20
解答
=e^ lim (1/1-cosx)·ln(sinx/x)=e^ lim ln(sinx/x)/(1-cosx)=e^ lim (sinx/x -1)/(x²/2)=e^ lim 2(sinx-x)/x³=e^ lim 2(cosx-1)/(3x²)=e^ lim 2(-x²/2)/(3x²)=e^(-4/3)
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