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: 27

Answer

Convergent, 0

Work Step by Step

$3^n$ is by definition increasing with no bound. So the value of that as n grows large is infinity and 1 divided by infinity is 0 limitwise. Therefore the sequence is also convergent.
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