Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.3 - Calculating Limits Using the Limit Laws - 2.3 Exercises: 62

Answer

Shown below.

Work Step by Step

Let $a = 0, f(x) = \frac{1}{x}, g(x) = -\frac{1}{x}$. Neither of the two individual limits exist, but since $f(x) + g(x) = 0$, we have $\lim_{x \to a}[f(x) + g(x)]$ exists and is 0.
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