Answer
$0
Work Step by Step
The constant $a$ does not affect whether the limit tends to zero (except for changing the sign), so the key is the term $b^x$.
We need: $$\lim_{x\rightarrow\infty}b^x=0.$$ The value of $b$ must be $0
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 4 - Exponential Functions - 4.3 Graphs of Exponential Functions - Exercises and Problems for Section 4.3 - Exercises and Problems - Page 164: 50
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