lim (x趋近于0) [(3x-1)/(3x+1)]的3X次方

题目

lim (x趋近于0) [(3x-1)/(3x+1)]的3X次方

答案

楼主可能要问的是 lim (x趋近于∞) [(3x-1)/(3x+1)]的3X次方lim (x趋近于∞) [(3x-1)/(3x+1)]^(3X)=lim [1 + (-2)/(3x+1)]^(3X)=e^ lim (3X)·ln [1 + (-2)/(3x+1)]=e^ lim (3X)· (-2)/(3x+1) 【等价无穷小代换】=e...