Question

x趋近0时,求lim(1+2x)^(1/sinx)

Answer 1

简单计算一下即可，答案如图所示

Answer 2

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