Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.2 Exponential Functions and Their Derivatives - 6.2 Exercises - Page 418: 28



Work Step by Step

Need to find the limit for $\lim\limits_{x \to2^{-}}e^{\frac{3}{(2-x)}}$. Consider $y=\lim\limits_{x \to2^{-}}e^{\frac{3}{(2-x)}}$ when ${x \to 2^{-}}$ then $(2-x) \to 0^{+}$ Thus, $\lim\limits_{x \to2^{-}}e^{\frac{3}{(2-x)}}=e^{\infty}$ Hence, the limit for $\lim\limits_{x \to2^{-}}e^{\frac{3}{(2-x)}} $ is $\infty$.
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