设f(0)=0,且f'(0)=2,求limx趋向于0 f(x)/sin6x.

问题描述:

设f(0)=0,且f'(0)=2,求limx趋向于0 f(x)/sin6x.

用洛比达法则,对f(x)和sin6x微分就可以了,结果是limx=f'(x)/6cos6x=2/6=1/3