求limx趋向于无穷(xsinx分之1)
问题描述:
求limx趋向于无穷(xsinx分之1)
答
lim(x→∞)(xsinx分之1)
=lim(x→∞)sin(1/x)/(1/x)
=lim(t→0)sin(t)/t
=1