Calculus and Its Applications, Chapter 1, 1.1, Section 1.1, Problem 80

The given function is
$
g(x) =
\left\{
\begin{equation}
\begin{aligned}
&x^2 - 2, && \text{for } x < 0\\
&2 - x^2, && \text{for } x \geq 0
\end{aligned}
\end{equation}
\right.
$.
By using the GRAPH and TRACE features determine the limit
$
\displaystyle
\lim_{x \to \infty}
g(x)
$
and
$
\displaystyle
\lim_{x \to -\infty}
g(x)
$.





Based from the graph, the
$
\displaystyle
\lim_{x \to \infty}
g(x)
=
\lim_{x \to -\infty}
g(x)
=
0
$