Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.5 Exercises: 16


No Vertical Asymptotes.

Work Step by Step

$f(x)=\dfrac{3x}{x^2+9}.$ Vertical asymptotes occur when the denominator only is $0\to$ $x^2+9=0\to x^2=-9$ which has no real solution, hence the denominator is never $0$ and the function has no vertical asymptotes.
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