Which one of the following series is conver- gent? 1. 3. Σ n=1 8 2. Σ (-1)2n, n=1 5. (-1)¹-1 2+ νπ 2 +13. n=1 n=1 1 4+ Vn 4. Σ (-1)n-12 + √n 1+ V n=1 1 4+ Vn 4 1+ Vn

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
Which one of the following series is conver-
gent?
f
1.
8
n=1
4.
α
2. Σ (-1)2n
n=1
(−1)n-1
2+ Vn
3. Σ (1)3
ηπι
5. Σ
n=1
1
4+vn
1+
1
4+√n
Σ (1) -12+ vn
η
1+ vn
n=1
4
1+√n
Transcribed Image Text:Which one of the following series is conver- gent? f 1. 8 n=1 4. α 2. Σ (-1)2n n=1 (−1)n-1 2+ Vn 3. Σ (1)3 ηπι 5. Σ n=1 1 4+vn 1+ 1 4+√n Σ (1) -12+ vn η 1+ vn n=1 4 1+√n
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