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: 28f

Answer

$\displaystyle \lim_{x\rightarrow-\infty}f(x)=0$

Work Step by Step

Follow the steps in "Evaluating Limits Graphically" (step $6$: limits at $\pm\infty$) Tracing the graph to the far left , we see that the graph approaches, but never crosses the x-axis. (The x-axis has the equation $y=0)$ So, as $ x\rightarrow-\infty$, the function values f(x)$\rightarrow$0. $\displaystyle \lim_{x\rightarrow-\infty}f(x)=0$
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