Answer
$$\lim_{x \to \pi }f(x)=-1$$
Work Step by Step
To find $\lim_{x\to \pi }f(x)$, examine the graph of $f$ near $x=\pi$. As $x$ gets closer to $\pi$, the values of $f(x)$ get closer to $-1$. We conclude from the graph that$$\lim_{x \to \pi }f(x)=-1.$$
