If \[f(x)=\left\{ \begin{align} & {{x}^{2}},\,\,\text{when}\,\,\,x\ne 1 \\ & \,\,\,2,\text{when}\,\,x=1 \\ \end{align} \right.\]then

\[\underset{x\to 1}{\mathop{\lim }}\,f(x)=2\]

\[f(x)\]is continuous at \[x=1\]

\[f(x)\]is discontinuous at \[x=1\]

If \[f(x)=\left\{ \begin{align} & {{x}^{2}},\,\,\text{when}\,\,\,x\

1.	If \[f(x)=\left\{ \begin{align} & {{x}^{2}},\,\,\text{when}\,\,\,x\ne 1 \\ & \,\,\,2,\text{when}\,\,x=1 \\ \end{align} \right.\]then
A.	\[\underset{x\to 1}{\mathop{\lim }}\,f(x)=2\]
B.	\[f(x)\]is continuous at \[x=1\]
C.	\[f(x)\]is discontinuous at \[x=1\]
D.	None of these
Answer» D. None of these

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If \[f(x)=\left\{ \begin{align} & {{x}^{2}},\,\,\text{when}\,\,\,x\ne 1 \\ & \,\,\,2,\text{when}\,\,x=1 \\ \end{align} \right.\]then

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