limx->0 sin3x/x是否等价无穷小?

问题描述:

limx->0 sin3x/x是否等价无穷小?

答:
lim(x→0 ) sin(3x) / x
=lim(x→0) 3sin(3x) /(3x)
=3
不是等价无穷小,是同阶无穷小