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: 1

Answer

a) Indeterminate b) 0 c) 0 d) does not exist e) Indeterminate

Work Step by Step

a) $\lim\limits_{a \to x}$ f(x)$\div$g/(x) = $\lim\limits_{a \to x}$ 0$\div$0 = Indeterminate b) $\lim\limits_{a \to x}$ f(x)$\div$p(x) = $\lim\limits_{a \to x}$ 0$\div$$\infty$ =0 c) $\lim\limits_{a \to x}$ h(x)$\div$p(x) =$\lim\limits_{a \to x}$ 1$\div$$\infty$ =0 d) $\lim\limits_{a \to x}$ p(x)$\div$f(x) =$\lim\limits_{a \to x}$ $\infty$$\div$0 = D.N.E e) $\lim\limits_{a \to x}$ p(x)$\div$q(x) = $\lim\limits_{a \to x}$ $\infty$$\div$$\infty$ =Indeterminate
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