Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Section 13.4 - Limits at Infinity; Limits of Sequences - 13.4 Exercises - Page 930: 25

Answer

Divergent

Work Step by Step

The first thing that we notice is the fact that the denominator's power is less than the numerator's. Therefore the the sequence is divergent. The limit of this function as n grows large is infinity since the numerator's power is higher and the function is positive,
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