Answer
False.
Work Step by Step
Take as an example $\frac{1}{x}$, $y=0$ is a horizontal asymptote:
$\lim\limits_{x \to \infty} 1/x=0$
Here $p(x)=1$ and $q(x)=x$, therefore they don't have the same degree and yet have a horizontal asymptote.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 1 - Limits and Continuity - 1.3 Limits At Infinity; End Behavior Of A Function - Exercises Set 1.3 - Page 79: 36
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
