Which of the following series converges and which diverges? Find the sum of the convergent series. 1 00 Σ V2 Ans. Converges, 2+ v2 1) n=0 3 2) Ans. Converges, 1 2" n=1 00 3) Ecos(nz) Ans. Diverges n=0 -2n Ans. Converges, e? -1 4) n=0
Which of the following series converges and which diverges? Find the sum of the convergent series. 1 00 Σ V2 Ans. Converges, 2+ v2 1) n=0 3 2) Ans. Converges, 1 2" n=1 00 3) Ecos(nz) Ans. Diverges n=0 -2n Ans. Converges, e? -1 4) n=0
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
![Which of the following series converges and which diverges? Find the sum
of the convergent series.
1) E
Ans. Converges, 2+v2
n=0
3
2) E(-1)*1.
2"
n+1
Ans. Converges, 1
n=1
00
3) cos(nz)
Ans. Diverges
n=0
e?
Ans. Converges,
e? -1
00
) Σε
-2n
n=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7402a51f-2695-4ed8-8d63-4fb0c9626180%2Fa7c24a4f-a1b9-4616-8f9b-004b53c0387e%2F3o8bqrf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following series converges and which diverges? Find the sum
of the convergent series.
1) E
Ans. Converges, 2+v2
n=0
3
2) E(-1)*1.
2"
n+1
Ans. Converges, 1
n=1
00
3) cos(nz)
Ans. Diverges
n=0
e?
Ans. Converges,
e? -1
00
) Σε
-2n
n=0
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