Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.6 - Limits at Infinity; Horizontal Asymptotes - 2.6 Exercises - Page 140: 74

Answer

N = 1383

Work Step by Step

We can graph the function $f(x) = \sqrt{x~ln~x}$ On the graph , we can see that $~~f(x) \gt 100~~$ when $~~x \gt 1383$ Therefore: If $x \gt 1383,~~~$ then $~~~ \sqrt{x~ln~x} \gt 100$ We can check the value $N=1383$ in the function: $f(1383) = \sqrt{(1383)~(ln~1383)} = 100.009$
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