If \[f(x)=\left\{ \begin{align} & \,\,\,\,{{x}^{2}},\,\text{when}\,x\le 1 \\ & x+5,\text{when }x>\text{1} \\ \end{align} \right.\], then [AISSE 1983]

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

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

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

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

1.	If \[f(x)=\left\{ \begin{align} & \,\,\,\,{{x}^{2}},\,\text{when}\,x\le 1 \\ & x+5,\text{when }x>\text{1} \\ \end{align} \right.\], then [AISSE 1983]
A.	\[f(x)\]is continuous at \[x=1\]
B.	\[f(x)\]is discontinuous at\[x=1\]
C.	\[\underset{x\to 1}{\mathop{\lim }}\,f(x)=1\]
D.	None of these
Answer» C. \[\underset{x\to 1}{\mathop{\lim }}\,f(x)=1\]

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If \[f(x)=\left\{ \begin{align} & \,\,\,\,{{x}^{2}},\,\text{when}\,x\le 1 \\ & x+5,\text{when }x>\text{1} \\ \end{align} \right.\], then [AISSE 1983]

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