Answer
$\displaystyle \lim_{x\rightarrow-\infty}f(x)=0$
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 x-axis.
(The x-axis has the equation $y=0)$
So, as $ x\rightarrow-\infty$, the function values f(x)$\rightarrow$0.
$\displaystyle \lim_{x\rightarrow-\infty}f(x)=0$