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: 26

Answer

$0$

Work Step by Step

Need to find the limit for $\lim\limits_{x \to \infty}e^{-x^{2}}$. Therefore, $\lim\limits_{x \to \infty}e^{-x^{2}}=\lim\limits_{x \to \infty}\frac{1}{e^{x^{2}}}$ $=\frac{1}{e^{\infty}}=\frac{1}{\infty}$ Hence, $\lim\limits_{x \to \infty}e^{-x^{2}}=0$
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