Answer
The horizontal asymptote does not exist
Work Step by Step
$h(x)=\dfrac{12x^{3}}{3x^{2}+1}$
Since the degree of the numerator is greater than the degree of the denominator, this function does not have a horizontal asymptote.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 407: 41
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