If $$f(x) = \left\{ \begin{array}{l l} 1+x & \quad {when \: x\: \leq 2}\\ 5-x & \quad { when \: x\: \: \leq 3} \end{array} \right.$$ , then $$\begin{array} ((A)\: f\: is\: continuous \: at\: x = 2 \quad & (B)\: f\: is\: discontinuous \: at \: x = 2 \\(C) \: f\: is\: continuous\: at\: x = 3 \quad & (D)\: f\: is\: continuous\: at\: x = 3 \: and \: discontinuous \: at \: x=2 \end{array}$$

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