(2) Σ3 n=1 (b) Σ n=1 (0) Σ n=1 (e) (−1)n-¹ n (n + 2)3 n-1 n-1 η2 + 2n en n!√n (1) Σ n=1 f In(n)

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 th efollowing series converge absolutely, converge conditinally, or diverge (and explain why).

(2) Σ
n=1
(b) Σ
n=1
(c) Σ
n=1
(d)
(³ (1) ²
3
(e)
n=1
8
n=1
n-1
(−1)"-1 η
(n + 2)3
n-1
η2 + 2n
en
n!√n
In(n)
η
Transcribed Image Text:(2) Σ n=1 (b) Σ n=1 (c) Σ n=1 (d) (³ (1) ² 3 (e) n=1 8 n=1 n-1 (−1)"-1 η (n + 2)3 n-1 η2 + 2n en n!√n In(n) η
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