(2) Σ n=1 (B) Σ n=1 (0) n=1 2√n +1 3n2 +1 (−1)" In(n) n? (-2)" η3 +1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Determine whether the series are absolutely convergent, conditionally convergent, or divergent:

2√n +1
(2) Σ 3n2 + 1
n=1
8
(b) Σ
n=1
(0)
(e)
n=1
(−1)" In(n)
n?
(d) Σ(-1)" sin(1/n)
n=1
n=1
(-2)"
n3 +1
(n!)²
(2η)!
Transcribed Image Text:2√n +1 (2) Σ 3n2 + 1 n=1 8 (b) Σ n=1 (0) (e) n=1 (−1)" In(n) n? (d) Σ(-1)" sin(1/n) n=1 n=1 (-2)" n3 +1 (n!)² (2η)!
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