（n→∞）时lim（2∧n）*(sin(x/2∧n))的极限

题目

（n→∞）时lim（2∧n）*(sin(x/2∧n))的极限
x为不等于零的常数.结果是x,

答案

2^n=1/(1/2^n)=x/(x/2^n)
lim(2^n)*sin(x/2^n))=lim(x/(x/2^n))*sin(x/2^n)=lim x*(sin(x/2^n)/(x/2^n))=lim x*1=x