Answer
$5$
Work Step by Step
We need to build a table that shows the values of $x$ close to $2$ from the left and right sides and the values of $f(x)$ for those values of $x$.
From the graph, we see that the left and right hand limits give the same value of $5$. Thus:
$\lim_\limits {x \to 2}f(x)=5$
