Finite Math and Applied Calculus (6th Edition)

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

Chapter 10 - Section 10.2 - Limits and Continuity - Exercises - Page 707: 20

Answer

We can not define a value for $f(-4)$ such that $f$ will become continuous.

Work Step by Step

$\lim\limits_{x \to -4}(x^2-3x)=(-4)^2-3(-4)=28$ $\lim\limits_{x \to -4}(x+4)=-4+4=0$ $\lim\limits_{x \to -4}\frac{x^2-3x}{x+4}=\frac{28}{0}=\infty$
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