设f(0)=0,f'(0)=2,求limf(x)/sin 2x ,x 趋向于0

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设f(0)=0,f''(0)=2,求limf(x)/sin2x,x趋向于0设f(0)=0,f''(0)=2,求limf(x)/sin2x,x趋向于0设f(0)=0,f''(0)=2,求limf(x)/sin

设f(0)=0,f'(0)=2,求limf(x)/sin 2x ,x 趋向于0
设f(0)=0,f'(0)=2,求limf(x)/sin 2x ,x 趋向于0

设f(0)=0,f'(0)=2,求limf(x)/sin 2x ,x 趋向于0
利用洛必达法则
x 趋向于0limf(x)/sin 2x =lim[f'(x)/2cos2x]=f'(0)/2=2/2=1
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