Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Section 2.4 - One-Sided Limits - Exercises 2.4 - Page 74: 13

Answer

$$1$$

Work Step by Step

\begin{align*} \lim _{x \rightarrow-2^{+}}\left(\frac{x}{x+1}\right)\left(\frac{2 x+5}{x^{2}+x}\right)&=\left(\frac{-2}{-2+1}\right)\left(\frac{2(-2)+5}{(-2)^{2}+(-2)}\right)\\ &=(2)\left(\frac{1}{2}\right)\\ &=1 \end{align*}
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