## Calculus 8th Edition

$\lim\limits_{x \to 3}\dfrac{x^2-9}{x^2+2x-3}$ Factor. $\lim\limits_{x \to 3}\dfrac{(x+3)(x-3)}{(x+3)(x-1)}$ The $(x+3)$ cancels out. $\lim\limits_{x \to 3}\dfrac{x-3}{x-1}$ Plug in 3. $\lim\limits_{x \to 3}\dfrac{3-3}{3-1}=\dfrac{0}{2}=0$