证明:Lim (1/xsinx-xsin1/x) =1 x→0

问题描述:

证明:Lim (1/xsinx-xsin1/x) =1 x→0

lim(x→0) [(1/x)sinx-xsin(1/x)]
=lim(x→0) sinx/x-lim(x→0) xsin(1/x),0乘以有界函数都是0
=1-0
=1