College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.1 - Page 454: 79

Answer

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Work Step by Step

$f(x)=(1+\frac{1}{x})^x$ $f(10)=2.5937$, $f(100)=2.7048$, $f(1000)=2.716923$, $f(10000)=2.718145$, $f(100000)=2.718268$, $f(1000000)=2.718280$, As $x$ increases. $f(x)$ approaches the number $2.71828182$, also known as $e$ or Euler's constant.
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