Determine whether the series converges or diverges. If it converges, find its sum. V13 n=0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 6CC
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HW # 18

00
1
n
Determine whether the series >
converges or diverges. If it converges, find its sum.
n = 0
.....
Select the correct choice below and, if necessary, fill in the answer box within your choice.
n
1
The series converges because lim
A.
= 0. The sum of the series is
13
(Type an exact answer, using radicals as needed.)
The series converges because it is a geometric series with r <1. The sum of the series is
В.
(Type an exact answer, using radicals as needed.)
C. The series diverges because it is a geometric series with r|> 1.
1
+0 or fails to exist.
13
D. The series diverges because lim
k
n
1
E. The series converges because lim >
fails to exist.
/13
k→00 n = 0
Transcribed Image Text:00 1 n Determine whether the series > converges or diverges. If it converges, find its sum. n = 0 ..... Select the correct choice below and, if necessary, fill in the answer box within your choice. n 1 The series converges because lim A. = 0. The sum of the series is 13 (Type an exact answer, using radicals as needed.) The series converges because it is a geometric series with r <1. The sum of the series is В. (Type an exact answer, using radicals as needed.) C. The series diverges because it is a geometric series with r|> 1. 1 +0 or fails to exist. 13 D. The series diverges because lim k n 1 E. The series converges because lim > fails to exist. /13 k→00 n = 0
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