Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 327: 12

Answer

$$ \lim _{x \rightarrow \infty} 4^{-x} =0. $$

Work Step by Step

Since $4>1$, then we have $$ \lim _{x \rightarrow \infty} 4^{-x}=\lim _{x \rightarrow \infty} \frac{1}{4^{x}} =0. $$
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