Question: Consider the function \[f(x)=\left\{ \begin{aligned} & x \\ & 1 \\ & 3 \\ \end{aligned} \right.\] \[\begin{matrix} \text{if}\ x<3 \\ \begin{aligned} & \text{if}\ x=3 \\ & \text{if }x>3 \\ \end{aligned} \\ \end{matrix}\] whose graph is shown below. Find the value of each limit, if it exists.

1. \[\underset{x\to {{3}^{+}}}{\mathop{\lim }}\,f(x)\]
2. \[\underset{x\to {{3}^{-}}}{\mathop{\lim }}\,f(x)\]
3. \[\underset{x\to 3}{\mathop{\lim }}\,f(x)\]
   
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