Calculus: Early Transcendentals 8th Edition

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

Chapter 4 - Section 4.4 - Indeterminate Forms and l''Hospital''s Rule - 4.4 Exercises: 2

Answer

a. Cannot be determined b. $\infty$ c. $\infty$

Work Step by Step

a. $\lim\limits_{x \to a} [f(x)p(x)] = 0*\infty=indeterminate$ b. $\lim\limits_{x \to a} [h(x)p(x)] =$ $\lim\limits_{x \to a} h(x) \times \lim\limits_{x \to a} p(x) = 1 \times \infty = \infty$ c. $\lim\limits_{x \to a} [p(x)q(x)] =$ $\lim\limits_{x \to a} p(x) \times \lim\limits_{x \to a} q(x) = \infty \times \infty = \infty$
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