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 - Exercises - Page 699: 36

Answer

$400$ thousand We expect that the number of housing starts per year in the U.S. will eventually level off at a value of $400,000$ housing starts per year.

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 $400$. So, we write: $\displaystyle \lim_{t\rightarrow\infty}n(t)=400$ Thus, we expect that the number of housing starts per year in the U.S. will eventually level off at a value of $400,000$ housing starts per year.
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