If\[f(x)=\left\{ \begin{align} & \frac{|x-a|}{x-a},\text{when}\,x\ne a \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,1,\text{when}\,x=a \\ \end{align} \right.\],then [AI CBSE 1983]

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

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

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

If\[f(x)=\left\{ \begin{align} & \frac{|x-a|}{x-a},\text{when}\,x\n

1.	If\[f(x)=\left\{ \begin{align} & \frac{\|x-a\|}{x-a},\text{when}\,x\ne a \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,1,\text{when}\,x=a \\ \end{align} \right.\],then [AI CBSE 1983]
A.	\[f(x)\]is continuous at \[x=a\]
B.	\[f(x)\]is discontinuous at \[x=a\]
C.	\[\underset{x\to a}{\mathop{\lim }}\,f(x)=1\]
D.	None of these
Answer» C. \[\underset{x\to a}{\mathop{\lim }}\,f(x)=1\]

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If\[f(x)=\left\{ \begin{align} & \frac{|x-a|}{x-a},\text{when}\,x\ne a \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,1,\text{when}\,x=a \\ \end{align} \right.\],then [AI CBSE 1983]

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