Let $$f(x)=\frac{1-x(1+\mid1-x\mid)}{\mid1-x\mid}Cos(\frac{1}{1-x})$$ for $$x\neq1$$. Then

A

$$\lim_{x\rightarrow1^{-}}f(x)=0$$

B

$$\lim_{x\rightarrow1^{-}}f(x)$$ does not exist

C

$$\lim_{x\rightarrow1^{+}}f(x)=0$$

D

$$\lim_{x\rightarrow1^{+}}f(x)$$ does not exist