Answer
True.
Work Step by Step
True. The leading terms $a_nx^n,a_dx^n$ will play a dominant role when $x\to\infty$, and the horizontal asymptote will be $y=\frac{a_nx^n}{a_dx^n}=\frac{a_n}{a_d}$, that is, the ratio of the leading coefficients.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 4 - Polynomial and Rational Functions - 4.2 Properties of Rational Functions - 4.2 Assess Your Understanding - Page 196: 12
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