Answer
$\displaystyle \lim_{x\rightarrow 0^{-}}f(x)=2$
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
(step 4: left sided limit at x=a)
a=0
Tracing the graph from the left of x=0 (but not 0 itself),
we near the point (0,2),
so f(x) approaches 2 (which is the left limit)
$\displaystyle \lim_{x\rightarrow 0^{-}}f(x)=2$
