Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 3 - Determining Change: Derivatives - 3.7 Activities - Page 244: 4

Answer

$$\lim _{x \rightarrow 3} \frac{9}{x} =3$$

Work Step by Step

Given $$\lim _{x \rightarrow 3} \frac{9}{x}$$ By using the method of replacement \begin{align*} \lim _{x \rightarrow 3} \frac{9}{x}&=\lim _{x \rightarrow 3} \frac{9}{3}\\ &=\lim _{x \rightarrow 3} (3)\\ &=3 \end{align*}
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