Determine whether the series 00 n=0 1 OD. n Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The series diverges because lim converges or diverges. If it converges, find its sum. 1 n∞ √7 n #0 or fails to exist. OB. The series converges because it is a geometric series with |r|<1. The sum of the series is (Type an exact answer, using radicals as needed.) OC. The series diverges because it is a geometric series with |r| 21. n = 0. The sum of the series is. 1 The series converges because lim (+) n→∞o (Type an exact answer, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Question
Determine whether the series
00
n=0
OB.
1
A. The series diverges because lim
n→∞
OD.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
n
converges or diverges. If it converges, find its sum.
1
√7
n
The series converges because it is a geometric series with |r| < 1. The sum of the series is
(Type an exact answer, using radicals as needed.)
OC. The series diverges because it is a geometric series with |r| > 1.
#0 or fails to exist.
n
1
The series converges because lim
(+)
n→∞
(Type an exact answer, using radicals as needed.)
= 0. The sum of the series is
Transcribed Image Text:Determine whether the series 00 n=0 OB. 1 A. The series diverges because lim n→∞ OD. Select the correct choice below and, if necessary, fill in the answer box within your choice. n converges or diverges. If it converges, find its sum. 1 √7 n The series converges because it is a geometric series with |r| < 1. The sum of the series is (Type an exact answer, using radicals as needed.) OC. The series diverges because it is a geometric series with |r| > 1. #0 or fails to exist. n 1 The series converges because lim (+) n→∞ (Type an exact answer, using radicals as needed.) = 0. The sum of the series is
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