question_answer

If \[f(x)=\left\{ \begin{align}   & {{\sin }^{-1}}|x|,\text{when}\,x\ne 0 \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,\,\text{when }x=0 \\ \end{align} \right.\] then

A)            \[\underset{x\to 0+}{\mathop{\lim }}\,f(x)\ne 0\]                     

B)            \[\underset{x\to 0-}{\mathop{\lim }}\,f(x)\ne 0\]

C)            \[f(x)\]is continuous at\[x=0\] 

D)            None of these