Answer
$\infty $
Work Step by Step
Since $(x-7)^2$ approaches $0$ from either the left or right, then
$$\lim _{x \rightarrow 7} \frac{4}{(x-7)^{2}}=\infty $$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 2: Limits and Continuity - Section 2.6 - Limits Involving Infinity; Asymptotes of Graphs - Exercises 2.6 - Page 97: 43
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