#### Answer

$ \lim\limits_{x \to 0^-} g(x) = \lim\limits_{x \to 0^+} g(x) = \lim\limits_{x \to 0} g(x) = g(0) = 4 $

#### Work Step by Step

The function behaves very nicely around the point $x = 0$ (the function is continuous at $x = 0$) and thus,
$ \lim\limits_{x \to 0^-} g(x) = \lim\limits_{x \to 0^+} g(x) = \lim\limits_{x \to 0} g(x) = g(0) = 4 $.