Answer
$\displaystyle \lim_{x\rightarrow+\infty}f(x)=-2$
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
(step $6$: limits at $\pm\infty$)
Tracing the graph to the far left,
we see that the graph approaches, but never crosses the line with the equation $y=-2.$
So, as $ x\rightarrow-\infty$, the function values, f(x)$\rightarrow-2$.
$\displaystyle \lim_{x\rightarrow+\infty}f(x)=-2$
