6 converges or diverges. If it converges, find its sum. 7m Determine whether the series > m = 2 Select the correct choice below and, if necessary, fill in the answer box within your choice. The series converges because it is a geometric series with r < 1. The sum of the series is O A. (Simplify your answer.) O B. The series diverges because it is a geometric series with r 21. OC. The series diverges because lim #0 or fails to exist. 7m The series converges because lim O D. 6 = 0. The sum of the series is 7m (Simplify your answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Determine whether the series >
converges or diverges. If it converges, find its sum.
7m
m =2
Select the correct choice below and, if necessary, fill in the answer box within your choice.
The series converges because it is a geometric series with r<1. The sum of the series is
O A.
(Simplify your answer.)
B. The series diverges because it is a geometric series with r21.
#0 or fails to exist.
7m
c. The series diverges because lim
6
The series converges because lim
D.
= 0. The sum of the series is
7m
(Simplify your answer.)
Transcribed Image Text:Determine whether the series > converges or diverges. If it converges, find its sum. 7m m =2 Select the correct choice below and, if necessary, fill in the answer box within your choice. The series converges because it is a geometric series with r<1. The sum of the series is O A. (Simplify your answer.) B. The series diverges because it is a geometric series with r21. #0 or fails to exist. 7m c. The series diverges because lim 6 The series converges because lim D. = 0. The sum of the series is 7m (Simplify your answer.)
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