A) \[f(x)\]is continuous at \[x=0\]
B) \[\left[ 0,\frac{\pi }{2} \right]\]is discontinuous at \[x=0\]
C) \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=2\]
D) None of these
Correct Answer: B
Solution :
\[\underset{x\to 0-}{\mathop{\lim }}\,f(x)=1+1=2,\,\,\underset{x\to 0+}{\mathop{\lim }}\,f(x)=0,\,\,f(0)=2\].
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