Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 4 - Applications of the Derivative - 4.7 L'Hopital's Rule - 4.7 Exercises: 4


To the forms $0/0$ and $\pm \infty/\pm \infty$.

Work Step by Step

It applies certainly directly to $0/0$ form. But the forms $\pm\infty/\pm\infty$ can be transformed as $$\frac{f}{g}=\frac{\frac{1}{g}}{\frac{1}{f}}=\frac{1/\infty}{1/\infty}=0/0$$ so we can directly apply the rule to these forms as well.
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