0 2" + 3" Determine whether the series > converges or diverges. If it converges, find its sum. 10" n= 1 Select the correct answer below and, if necessary, fill in the answer box within your choice. The series converges because it is the sum of two geometric series, each with r < 1. The sum of the series is O A. (Simplify your answer.) 2" +3" #0 or fails to exist. O B. The series diverges because lim n-o 10" OC. The series diverges because it is the sum of two geometric series, at least one with r21. 2n + 3" The series converges because lim D. = 0. The sum of the series is n-o 10" (Simplify your answer.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 6CC
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2" + 3"
Determine whether the series >
converges or diverges. If it converges, find its sum.
10"
n = 1
Select the correct answer below and, if necessary, fill in the answer box within your choice.
The series converges because it is the sum of two geometric series, each with r< 1. The sum of the series is.
А.
(Simplify your answer.)
2" +3"
+0 or fails to exist.
B. The series diverges because lim
n→o 10"
C. The series diverges because it is the sum of two geometric series, at least one with r 21.
2" + 3"
The series converges because lim
= 0. The sum of the series is
n→0 10n
(Simplify your answer.)
Transcribed Image Text:2" + 3" Determine whether the series > converges or diverges. If it converges, find its sum. 10" n = 1 Select the correct answer below and, if necessary, fill in the answer box within your choice. The series converges because it is the sum of two geometric series, each with r< 1. The sum of the series is. А. (Simplify your answer.) 2" +3" +0 or fails to exist. B. The series diverges because lim n→o 10" C. The series diverges because it is the sum of two geometric series, at least one with r 21. 2" + 3" The series converges because lim = 0. The sum of the series is n→0 10n (Simplify your answer.)
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