University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.2 - Limit of a Function and Limit Laws - Exercises - Page 66: 21

Answer

$\lim\limits_{h \to 0} \frac{3}{\sqrt {3h+1} +1} = \frac{3}{2}=1.5$

Work Step by Step

$\lim\limits_{h \to 0} \frac{3}{\sqrt (3h+1) +1} = \frac{\lim\limits_{h \to 0}3}{\lim\limits_{h \to 0}(\sqrt (3h+1) +1)}$ $=\frac{3}{2}$ $ = 1.5$
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