求极限：lim(sinx/(2^n*sin(x/2^n)))要详细过程,

题目

求极限：lim(sinx/(2^n*sin(x/2^n)))要详细过程,

答案

运用等价无穷小代换
lim(x→0）(sinx/(2^n*sin(x/2^n)))
＝lim(x→0）(x/(2^n*(x/2^n)))
＝1