Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.7 L'Hôpital's Rule - Exercises - Page 366: 1


L’Hôpital’s Rule does not apply.

Work Step by Step

Since the denominator is non zero at $ x=3$, then L’Hôpital’s Rule does not apply. We can find the limit directly as follows $$ \lim _{x \rightarrow 3} \frac{2 x^{2}-5 x-3}{x-4}=\frac{2 (9)-5 (3)-3}{3-4}=\frac{0}{-1}=0. $$
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