Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.1 - Limits: Numerical and Graphical Viewpoints - Explore Your World - Page 700: 40

Answer

$\displaystyle \lim_{t\rightarrow\infty}A(t)=25.$ The percentage will eventually level off to $ 25\%$.

Work Step by Step

$t$ is "approaching $+\infty$" means that $t$ is assuming positive values of greater and greater magnitude. See table below. As $t$ assumes positive values of greater and greater magnitude, the function value approaches the value $25$. So, we write $\displaystyle \lim_{t\rightarrow\infty}A(t)=25.$ Thus, the percentage will eventually level off to $ 25\%$.
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