question_answer

If \[f(x)=\left\{ \begin{align}   & x,\ \ \text{when}0<x<1/2 \\  & 1,\ \ \ \text{when }x=1/2 \\  & 1-x,\text{when}\ \text{1/2}<x<\text{1} \\ \end{align} \right.\], then

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

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

C)            \[f(x)\]is continuous at \[x=\frac{1}{2}\]                                    

D)            \[f(x)\]is discontinuous at \[x=\frac{1}{2}\]