Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.7 Limits at Infinity - Preliminary Questions - Page 82: 4


The sign of $ a $ in this case must be negative ($-$).

Work Step by Step

Note that the degree of the polynomial is odd, so putting in a large negative $x$ value will lead to a large overall negative value. Since the limit goes to positive infinity, this negative value must be made positive with a positive coefficient $a$.
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