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

\[f(x)\]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} & ({{x}^{2}}/a)-a,\ \ \text{when}\

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

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