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

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

Chapter 4 - Exponential Functions - 4.5 The Number e - Exercises and Problems for Section 4.5 - Exercises and Problems - Page 176: 53



Work Step by Step

This limit is also equal to $$\lim_{x\to\infty} e^{-3x}=\lim_{x\to\infty} \frac{1}{e^{3x}}=\frac{1}{\lim_{x\to\infty} e^{3x}}$$ Since the limit at $e^{3x}$ grows infinitely large, $\frac{1}{\infty}$ should approach $0$.
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