(B)lim_(hto0)(1)/(h^2)f(sqrt(1+h^2)-1)存在.(1)/(h^2)f(tan h-sin h)存在. (D)lim_(hto0)(1)/(h)[f(2h)-f(h)]存在.

f(x)在x=0的某邻域内有定义，f(0)=0，则下述条件能保证f'(0)存在的是 $\frac{1}{h}f[\ln(1-h)]$存在. (B)$\lim_{h\to0}\frac{1}{h^{2}}f(\sqrt{1+h^{2}}-1)$存在. $\frac{1}{h^{2}}f(\tan h-\sin h)$存在. (D)$\lim_{h\to0}\frac{1}{h}[f(2h)-f(h)]$存在.

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