求函数极限lim(x→∞) xsinxsin1/x^2(x的平方分之1)

问题描述:

求函数极限lim(x→∞) xsinxsin1/x^2(x的平方分之1)

lim(x→∞) xsinxsin1/x^2
=lim(x→∞) (1/x)sinx[sin1/x^2]/[1/x^2]
=lim(x→∞) (1/x)sinx
=0