Determine whether the series Σ e n=0 converges or diverges. If it converges, find its sum. Select the correct choice below and, if necessary, fill in the answer box within your choice. 3n 2 OA. The series diverges because lim e n→∞o O B. The series converges because lim e n→∞o (Type an exact answer.) #0 or fails to exist. 3n = 0. The sum of the series is
Determine whether the series Σ e n=0 converges or diverges. If it converges, find its sum. Select the correct choice below and, if necessary, fill in the answer box within your choice. 3n 2 OA. The series diverges because lim e n→∞o O B. The series converges because lim e n→∞o (Type an exact answer.) #0 or fails to exist. 3n = 0. The sum of the series is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:3n
2
Determine whether the series Σ e
n=0
converges or diverges. If it converges, find its sum.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The series diverges because lim e
n→∞o
O B.
3n
2
#0 or fails to exist.
3n
2
The series converges because lim e
= 0. The sum of the series is
(Type an exact answer.)
O C.
The series converges because it is a geometric series with |r| < 1. The sum of the series is
(Type an exact answer.)
O D. The series diverges because it is a geometric series with |r| > 1.
k
e
O E. The series converges because lim Σ
k→∞ n=0
3n
2
fails to exist.
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