Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - Exercises - Page 97: 36


$\dfrac {3}{16}$

Work Step by Step

$\lim _{v\rightarrow 2}\dfrac {v^{2}+2v-8}{v^{4}-16}=\dfrac {\left( v+4\right) \left( v-2\right) }{\left( v^{2}-4\right) \left( v^{2}+4\right) }=\dfrac {\left( v+4\right) \left( v-2\right) }{\left( v-2\right) \left( v+2\right) \left( v^{2}+4\right) }=\dfrac {\left( v+4\right) }{\left( v+2\right) \left( v^{2}+4\right) }=\dfrac {3}{16}$
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