University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.6 - Limits Involving Infinity; Asymptotes of Graphs - Exercises - Page 108: 43



Work Step by Step

$$A=\lim_{x\to7}\frac{4}{(x-7)^2}$$ As $x\to7$, $x-7$ approaches $0$ and $(x-7)^2$ approaches $0$ as well. Since $(x-7)^2\ge0$ for all $x$, $4/(x-7)^2$ will approach $\infty$. Therefore, $$A=\infty$$
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