Calculus 10th Edition

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

Chapter 3 - Applications of Differentiation - 3.5 Exercises - Page 202: 5

Answer

B

Work Step by Step

At $x= 0$, the function equals zero, narrowing down our options to B, C, D, and F. $\lim\limits_{x \to -\infty}f(x) = 0 $ and $\lim\limits_{x \to +\infty}f(x) = 0 $, meaning the answer can only be B or D. At $x=\pi/2\approx 1.6$, $f(x) \approx 4/(2.7+1)\approx 1$ The answer is thus B.
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