求极限(xsin1/x-1/xsinx) x----0
问题描述:
求极限(xsin1/x-1/xsinx) x----0
答
lim(x→0)[xsin(1/x)-(1/x)sinx]
=lim(x→0)[xsin(1/x)]-lim(x→0)[(1/x)sinx]
=0-1
=-1.