Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Review - Exercises - Page 942: 20

Answer

$\lim _{t\rightarrow -\infty }\dfrac {t^{4}}{t^{3}-1}=-\infty $

Work Step by Step

$\lim _{t\rightarrow -\infty }\dfrac {t^{4}}{t^{3}-1}=\dfrac {t^{4}/t^{3}}{\left( t^{3}-1\right) /t^{3}}=\dfrac {t}{1-\dfrac {1}{t^{3}}}=t=-\infty $
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