compute the limit and show your work. $lim_{x\rightarrow2}\frac{x^{2}-4}{x^{2}+4}$
compute the limit and show your work. $lim_{x\rightarrow2}\frac{x^{2}-4}{x^{2}+4}$
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