A) \[\underset{x\to 0+}{\mathop{\lim }}\,f(x)\ne 2\]
B) \[\underset{x\to 0-}{\mathop{\lim }}\,f(x)=0\]
C) \[f(x)\]is continuous at\[x=0\]
D) None of these
Correct Answer: C
Solution :
\[f(0+)=f(0-)=2\] and \[f(0)=2\] Hence \[f(x)\] is continuous at \[x=0.\]
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