Answer
$|r|\lt1$
Work Step by Step
When $|r|\lt1$ the terms approach zero. When $|r|\geq1$ they approach either a constant or infinity. Adding zero doesn't change a value. Adding infinity or a constant that isn't 0 does.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 8 - Sequences and Infinite Series - 8.3 Infinite Series - 8.3 Exercises - Page 623: 6
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