University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Practice Exercises - Page 111: 25



Work Step by Step

$$A=\lim_{t\to3^+}\ln(t-3)$$ As $t\to3^+$, $t-3$ approaches $0$ from the right. $\ln0$ is not defined, but as $t-3$ approaches $0^+$, $\ln(t-3)$ gets infinitely smaller and smaller, and approaches $-\infty$. Therefore, $$A=-\infty$$
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