an+1 (a) lim = 9 n- 00 an O absolutely convergent O conditionally convergent divergent cannot be determined an+1 (b) lim = 0.6 n - 00 an absolutely convergent conditionally convergent divergent O cannot be determined (c) lim an+1 = 1 an O absolutely convergent O conditionally convergent O divergent O cannot be determined

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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What can you say about the series
an
in each of the following cases?
an+1
(a)
lim
n - c0
an
O absolutely convergent
O conditionally convergent
O divergent
cannot be determined
an+1
(b)
lim
= 0.6
n - 00
an
O absolutely convergent
conditionally convergent
divergent
O cannot be determined
an+1
(c)
lim
= 1
an
O absolutely convergent
O conditionally convergent
O divergent
cannot be determined
Transcribed Image Text:What can you say about the series an in each of the following cases? an+1 (a) lim n - c0 an O absolutely convergent O conditionally convergent O divergent cannot be determined an+1 (b) lim = 0.6 n - 00 an O absolutely convergent conditionally convergent divergent O cannot be determined an+1 (c) lim = 1 an O absolutely convergent O conditionally convergent O divergent cannot be determined
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