Finite Math and Applied Calculus (6th Edition)

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

Chapter 10 - Section 10.3 - Limits and Continuity: Algebraic Viewpoint - Exercises - Page 721: 93

Answer

$\displaystyle \lim_{t\rightarrow\infty}p(t)=100$ As their age increases, the percentage of children that learn to speak nears $100\%.$

Work Step by Step

When $t\rightarrow+\infty,$ $1-\displaystyle \frac{12200}{t^{4.48}}$ has the form $1-\displaystyle \frac{k}{Big} \rightarrow 1-0 =1$ So $100(1-\displaystyle \frac{12200}{t^{4.48}})\rightarrow 100(1)=100$ $\displaystyle \lim_{t\rightarrow\infty}p(t)=100$ As their age increases, the percentage of children that learn to speak, nears $100\%.$
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