(B.)2. (C.)3. (D.)4.

设函数f(x)连续,给出下列四个条件 (1)$\lim_{x\to0}\frac{|f(x)|-f(0)}{x}$存在;(2)$\lim_{x\to0}\frac{f(x)-|f(0)|}{x}$存在; (3)$\lim_{x\to0}\frac{|f(x)|}{x}$存在;(4)$\lim_{x\to0}\frac{|f(x)|-|f(0)|}{x}$存在; 其中能得到“f(x)在x=0处可导”的条件个数是 (
A.)1. (
B.)2. (
C.)3. (
D.)4.

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