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

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

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

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

If \[f(x)=\left\{ \begin{align} & {{\sin }^{-1}}|x|,\text{when}\,x\

1.	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
Answer» D. None of these

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

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