求极限:lim(sinx/(2^n*sin(x/2^n)))要详细过程,

问题描述:

求极限:lim(sinx/(2^n*sin(x/2^n)))要详细过程,

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