求极限lim趋于0,sin(x的平方)*cos1/x/tanx

问题描述:

求极限lim趋于0,sin(x的平方)*cos1/x/tanx

.

lim[ sinx²cos(1/x)]/tanx
=lim xcoscos(1/x)
=0

lim[ sinx²cos(1/x)]/tanx
=lim x²cos(1/x)/x
=lim xcos(1/x)
=0*cos(0)
=0