Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.3 Techniques for Computing Limits - 2.3 Exercises: 44

Answer

$0$

Work Step by Step

$\lim _{x\rightarrow -b}\dfrac {\left( x+b\right) ^{7}+\left( x+b\right) ^{10}}{4\left( x+b\right) }=\dfrac {\left( x+b\right) ^{7}\left( 1+\left( x+b\right) ^{3}\right) }{4\left( x+b\right) }=\dfrac {\left( x+b\right) ^{6}\left( 1+\left( x+b\right) ^{3}\right) }{4}=\dfrac {0\times \left( 1+0\right) }{4}=0$
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