Answer
Limit Does not Exist
Work Step by Step
We need to build a table of $x$ values close to $2$ from the left side and right side and the values of $f(x)$ for those values of $x$.
From the graph, see that the left and right side limits do not match.
$\lim_\limits {x \to 2}f(x)=$ Limit Does not Exist
