Convergence of functional serics 1. Prove that each of the following series converges absolutely: (a) n=1 (-1)"-1 (b) n.3"(r-5)" (Hint: Find the interval of convergence).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Convergence of functional scries
1. Prove that each of the following series converges absolutely:
(a)
n=1
(-1)"-1
п.3" (г — 5)"
(b)
(Hint: Find the interval of convergence).
Transcribed Image Text:Convergence of functional scries 1. Prove that each of the following series converges absolutely: (a) n=1 (-1)"-1 п.3" (г — 5)" (b) (Hint: Find the interval of convergence).
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