If \[f(x)=\left\{ \begin{align} & \left( {{x}^{2}}/a \right)-a,\,\,when\,\,\,xa \\ \end{align} \right.\]

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

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

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

If \[f(x)=\left\{ \begin{align} & \left( {{x}^{2}}/a \right)-a,\,\,wh

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

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If \[f(x)=\left\{ \begin{align} & \left( {{x}^{2}}/a \right)-a,\,\,when\,\,\,xa \\ \end{align} \right.\]

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