question_answer

If \[f(x)=\left\{ \begin{align}   & x\ :\ x<0 \\  & 1\ :\ x=0 \\  & {{x}^{2}}\ :\ x>0 \\ \end{align} \right.,\]then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\] [DCE 2000]

A)                 0

B)                 1

C)                 2

D)                 Does not exist