已知f(x)在x=0处可导,且f(0)=0,则x趋近0时 lim(x^2f(x)-f(2x^3))/x^3=?
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已知f(x)在x=0处可导,且f(0)=0,则x趋近0时 lim(x^2f(x)-f(2x^3))/x^3=?
x趋近0时 lim(x^2f(x)-f(2x^3))/x^3
=lim(x->0)f(x)/x-lim(x->0)f(2x^3)/x^3
=lim(x->0)[f(x)-f(0)]/x-lim(x->0)[f(2x^3)-f(0)]/x^3
=f'(0)-2 lim(x->0)[f(2x^3)-f(0)]/2x^3
=f'(0)-2f'(0)
=-f'(0) 再答: ����ֱ��ʹ����ش�
再问: lim(x->0)[f(x)-f(0)]/x=f'(0)����ô���ģ�
再答: ������
=lim(x->0)f(x)/x-lim(x->0)f(2x^3)/x^3
=lim(x->0)[f(x)-f(0)]/x-lim(x->0)[f(2x^3)-f(0)]/x^3
=f'(0)-2 lim(x->0)[f(2x^3)-f(0)]/2x^3
=f'(0)-2f'(0)
=-f'(0) 再答: ����ֱ��ʹ����ش�
再问: lim(x->0)[f(x)-f(0)]/x=f'(0)����ô���ģ�
再答: ������
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