review the graph of function g(x). which table identifies these limits, if they exist? lim g(x) x→0 and lim…

Explanation:

Step1: Analyze $\lim_{x\rightarrow0}g(x)$

As $x$ approaches $0$ from both the left - hand side and the right - hand side, the function $g(x)$ approaches $0$.

Step2: Analyze $\lim_{x\rightarrow4}g(x)$

As $x$ approaches $4$ from the left - hand side, $g(x)$ approaches a non - negative value, and as $x$ approaches $4$ from the right - hand side, $g(x)$ approaches a negative value. The left - hand limit and the right - hand limit are not equal, so $\lim_{x\rightarrow4}g(x)$ does not exist (DNE).

Answer:

Limit	Value
$\lim_{x\rightarrow0}g(x)$	$0$
$\lim_{x\rightarrow4}g(x)$	DNE