compute the limit and show your work. $lim_{x
ightarrow2}\frac{x^{2}-4}{x^{2}+4}$

Question

Accepted Answer

# Explanation:
## Step1: Substitute x = 2
Substitute $x = 2$ into the function $\frac{x^{2}-4}{x^{2}+4}$.
$$
\begin{align*}
\frac{2^{2}-4}{2^{2}+4}&=\frac{4 - 4}{4+4}\
\end{align*}
$$
## Step2: Simplify the expression
$$
\begin{align*}
\frac{4 - 4}{4+4}&=\frac{0}{8}\
&=0
\end{align*}
$$
# Answer:
0

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Substitute x = 2

Step2: Simplify the expression

Answer: