lim(x→0)x次根号下(1+3x)

问题描述:

lim(x→0)x次根号下(1+3x)

lim(1+3x)^(1/x)=lim((1+3x)^(1/(3x)))^3=(lim((1+3x)^(1/(3x)))^3
=e^3