Let the function $f$ be defined by:

$$f(x) = \begin{cases}\displaystyle{x+2}&\text{if}\ x < 1\cr \displaystyle{2}&\text{if}\ x > 1.\end{cases}$$

Sketch the graph of this function and find the following limits, if they exist.
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1.	$\displaystyle\lim_{x\rightarrow 1^{-}} f(x)$	=
2.	$\displaystyle\lim_{x\rightarrow 1^{+}} f(x)$	=
3.	$\displaystyle\lim_{x\rightarrow 1} f(x)$	=