question_answer

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

A)            \[\underset{x\to 1}{\mathop{\lim }}\,f(x)=2\]

B)            \[f(x)\]is continuous at \[x=1\]

C)            \[f(x)\]is discontinuous at \[x=1\]   

D)            None of these