计算lim(sinωx/x)在x→0的过程的极限

问题描述:

计算lim(sinωx/x)在x→0的过程的极限

lim(x->0) (sinωx/x)
= ω lim(x->0) (sinωx/ωx)
令:t = ωx ,x->0时,t->0
lim(x->0) (sinωx/ωx) = lim(t->0) sint/t = 1
= ω*1
= ω