# How do you find the limit of (x-7)/(x^2-49) as x approaches 7?

$\implies {\lim}_{x \to 7} \frac{x - 7}{\left(x + 7\right) \left(x - 7\right)}$
$\implies {\lim}_{x \to 7} \frac{1}{x + 7}$
$\implies \frac{1}{7 + 7}$
$\implies \frac{1}{14}$