Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Section 13.2 - Finding Limits Algebraically - 13.2 Exercises - Page 913: 21


$\lim_{x\to\ -2}\dfrac{x^{2}-x+6}{x+2}$ doesn't exist.

Work Step by Step

$\lim_{x\to\ -2}\dfrac{x^{2}-x+6}{x+2}$ 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.