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: 54

Answer

$ \lim _{t \rightarrow-\infty} 5 e^{0.07 t}=0 $

Work Step by Step

The function $ e^{0.07 t}$, approaches zero as $t$ takes on larger negative numbers. Therefore: $$ \lim _{t \rightarrow-\infty} 5 e^{0.07 t}=0 $$
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