Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.6 - Limits at Infinity; Horizontal Asymptotes - 2.6 Exercises - Page 139: 58


One example: $\frac{x^{2}+10}{x^{2}-4x+3}$

Work Step by Step

We will work out the denominator first. There must be vertical asymptotes at x=1 and x=3, so we can create a factored polynomial for the denominator= $(x-1)(x-3)$. Because we can create a horizontal asymptote by dividing coefficients of polynomials of the same highest degree, anything that has a $1x^{2}$ will work for us. Let's use $x^{2}+10$ (we could also just use $x^2$).
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.