1.

If \[f(x)=\left\{ \begin{align}   & \,\,\,\,\,\,\,\,\,\,\,\,x\sin x,\,\text{when }0

A.            \[f(x)\]is discontinuous at \[x=\pi /2\]
B.            \[f(x)\]is continuous at \[x=\pi /2\]
C.            \[f(x)\]is continuous at \[x=0\]
D.            None of these
Answer» B.            \[f(x)\]is continuous at \[x=\pi /2\]


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