Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.3 - Calculating Limits Using the Limit Laws - 2.3 Exercises: 14


$\lim\limits_{x \to 4}\dfrac{x^{2}+3x}{x^{2}-x-12}=\infty$

Work Step by Step

Apply direct substitution first: $\lim\limits_{x \to 4}\dfrac{x^{2}+3x}{x^{2}-x-12}=\dfrac{4^{2}+3(4)}{4^{2}-4-12}=\dfrac{28}{0}=\infty$
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