Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 325: 40


$\ln 5$

Work Step by Step

When x approaches the value $5$ from the right side, $x\rightarrow 5^{+},$ $x\rightarrow 5,$ $x-4\rightarrow 1$, $\sqrt{x-4}\rightarrow 1$, $\displaystyle \frac{x}{\sqrt{x-4}}\rightarrow\frac{5}{1}=5$, $\displaystyle \ln\left(\frac{x}{\sqrt{x-4}}\right)\rightarrow\ln 5$
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