Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Practice Exercises - Page 101: 25

Answer

$-\infty $

Work Step by Step

Given $$\lim _{t \rightarrow 3^{+}} \ln (t-3)$$ Let $ x=t-3$. Then \begin{align*} \lim _{t \rightarrow 3^{+}} \ln (t-3)&=\lim _{x \rightarrow 0^{+}} \ln x\\ &=-\infty \end{align*}
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