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 718: 19

Answer

determinate, $-60$

Work Step by Step

See the table: "Some Determinate and lndeterminate Forms" and$, $after plugging in the value for x, recognize that the term $e^{x} $ in the denominator is of the form $k^{-\infty}=0$ (determinate) where $k=e>1.$ So, $\displaystyle \lim_{x\rightarrow-\infty}\frac{60}{e^{x}-1}=\frac{60}{0-1}=-60$
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