lim((2x-1)/(3x-1))^1/x (x→0)求极限.

问题描述:

lim((2x-1)/(3x-1))^1/x (x→0)求极限.

(2x-1)/(3x-1)=1-x/(3x-1)
x->0时,1-x/(3x-1)~1+x
所以原题答案为自然对数底数e