x趋近0时,求lim(1+2x)^(1/sinx)

分类: 作业答案 • 2022-06-04 10:34:11

问题描述：

答

lim[x→0] (1+2x)^(1/sinx)
=lim[x→0] (1+2x)^[(1/2x)*(2x/sinx)]
=lim[x→0] [(1+2x)^(1/2x)] ^2(x/sinx)
=e^2