Determine whether the following series converge. Rigorously justify your answers. in (a) Σ √n n=1 (b) ∞ n=1 1 + in n² + 1' (c) ∞ n=1 1 n+ in²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Determine whether the following series converge. Rigorously justify your answers.
1 + in
η2 + 1’
(2) Σ
n=1
νη
(b)
α
n=1
∞
(0) Σ
n=1
1
n + in2
Transcribed Image Text:2. Determine whether the following series converge. Rigorously justify your answers. 1 + in η2 + 1’ (2) Σ n=1 νη (b) α n=1 ∞ (0) Σ n=1 1 n + in2
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