If \[f(x)=\left\{ \begin{align} & {{2}^{1/x}},\text{for}\,x\ne 0 \\ & \,\,\,\,\,\,\,3,\text{for}\,x=\text{0} \\ \end{align} \right.\], then

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

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

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

If \[f(x)=\left\{ \begin{align} & {{2}^{1/x}},\text{for}\,x\ne 0 \\

1.	If \[f(x)=\left\{ \begin{align} & {{2}^{1/x}},\text{for}\,x\ne 0 \\ & \,\,\,\,\,\,\,3,\text{for}\,x=\text{0} \\ \end{align} \right.\], then
A.	\[\underset{x\to 0+}{\mathop{\lim }}\,f(x)=0\]
B.	\[\underset{x\to 0-}{\mathop{\lim }}\,f(x)=\infty \]
C.	\[f(x)\]is continuous at\[x=0\]
D.	None of these
Answer» E.

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If \[f(x)=\left\{ \begin{align} & {{2}^{1/x}},\text{for}\,x\ne 0 \\ & \,\,\,\,\,\,\,3,\text{for}\,x=\text{0} \\ \end{align} \right.\], then

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