设f(0)=0,f'(0)=6,求lim(x趋近于0)=(f(x-sinx))/x^3=?

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设f(0)=0,f'(0)=6,求lim(x趋近于0)=(f(x-sinx))/x^3=?

设f(0)=0,f'(0)=6,求lim(x趋近于0)=(f(x-sinx))/x^3=?
设f(0)=0,f'(0)=6,求lim(x趋近于0)=(f(x-sinx))/x^3=?

设f(0)=0,f'(0)=6,求lim(x趋近于0)=(f(x-sinx))/x^3=?
lim(f(x-sinx)/x^3)=lim(f'(x-sinx)*)(1-cosx)/(3*x^2))=lim(f'(x-sinx)*0.5*x^2/(3*x^2))=1/6*f'(0)=1