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: 67

Answer

$-3$

Work Step by Step

$\lim _{w\rightarrow -k}\dfrac {w^{2}+5kw+4k^{2}}{w^{2}+kw}=\dfrac {w^{2}+kw+4k^{2}+4kw}{w\left( w+k\right) }=\dfrac {w\left( w+k\right) +4k\left( w+k\right) }{w\left( w+k\right) }==\dfrac {\left( w+k\right) \left( w+4k\right) }{w\left( \omega +k\right) }=\dfrac {w+4k}{w}=\dfrac {-k+4k}{-k}=-3 $
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