Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.7 Limits at Infinity - Exercises - Page 83: 29



Work Step by Step

Since $ x\rightarrow -\infty $, then $ x $ is negative and hence we have $$ \lim _{x \rightarrow-\infty} \frac{|x|+x}{x+1}=\lim _{x \rightarrow-\infty} \frac{-x+x}{x+1}=\lim _{x \rightarrow-\infty}0=0. $$
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