## Precalculus: Mathematics for Calculus, 7th Edition

$\lim_{x\to\ -2}\dfrac{x^{2}-x+6}{x+2}$ doesn't exist.
$\lim_{x\to\ -2}\dfrac{x^{2}-x+6}{x+2}$ Try to find the limit applying direct substitution: $\lim_{x\to\ -2}\dfrac{x^{2}-x+6}{x+2}=\dfrac{(-2)^{2}-(-2)+6}{-2+2}=\dfrac{4+2+6}{0}=\infty$ $\lim_{x\to\ -2}\dfrac{x^{2}-x+6}{x+2}$ doesn't exist.