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

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

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