Question

第13题怎么做

Answer 1

分子分母分别求导

追问

6cos后面是什么

追答

6x

追问

ok

Answer 2

利用等价无穷小替换
x趋于0时
sin6x~6x
a^x-1~xlna

所以原式=lim(x趋于0)2^x[(3/2)^x-1]/6x
=lim(x趋于0)2^x*xln(3/2)/6x
=lim(x趋于0)2^x*ln(3/2)/6
=2^0*ln(3/2)/6
=ln(3/2)/6