Answer
$64$
Work Step by Step
$\lim _{t\rightarrow \dfrac {3}{2}}\left( 4t^{2}+8t-5\right) ^{3/2}=\left( 4\times \left( \dfrac {3}{2}\right) ^{2}+8\times \dfrac {3}{2}-5\right) ^{3/2}=\left( 9+12-5\right) ^{3/2}=16^{3/2}=64$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 2 - Limits - 2.3 Basic Limit Laws - Exercises - Page 59: 23
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