Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Strengthen Your Understanding - Page 489: 13

Answer

False

Work Step by Step

Since the $e^x$ function grows faster than $x^3$, the denominator for $\frac{1}{e^x}$ will also grow faster. Thus, this function will approach zero faster than $ \frac{1}{x^3}$
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