limx趋于0(1+3)的a/sinx次方=e的六次方,求a

问题描述:

limx趋于0(1+3)的a/sinx次方=e的六次方,求a

题目略为改下:
limx趋于0(1+3x)的a/sinx次方=e的六次方,求a
左边=e^[lim(x->0)3ax/sinx]
=e^3a
=右边=e^6
3a=6
a=2