Problem
Evaluate $\lim _{x \rightarrow 2} \frac{(x-2)(x+2)^{2}}{x^{2}-4}$
Solution
Step 1 ：Simplify the expression: \(\frac{(x-2)(x+2)^{2}}{x^{2}-4} = x + 2\)
Step 2 ：Evaluate the limit as x approaches 2: \(\lim_{x \rightarrow 2} (x + 2) = \boxed{4}\)
