Answer
0
Work Step by Step
x and sin x are continuous, thus sin (x + sin x) is continuous
$\lim\limits_{x \to \pi} sin (x+sin x)$ = $ sin(\pi + sin \pi) $
$\lim\limits_{x \to 2} sin (x+sin x) $ = $ sin(\pi + 0) $
$\lim\limits_{x \to 2} sin (x+sin x)$ = $ sin(\pi) $
$\lim\limits_{x \to 2}sin (x+sin x)$ = $ 0 $
