## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 11 - Section 11.2 - Finding Limits Using Properties of Limits - Exercise Set - Page 1154: 71

#### Answer

See explanations.

#### Work Step by Step

For the limit $\lim_{x\to4}\frac{(x+4)(x-4)}{x-4}$, when $x$ approaches $4$, it can get really close to but never be $4$. That is, $x\ne4$ or $x-4\ne0$ is true. Thus, we can divide the numerator and the denominator by $x-4$.

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