Convergence of functional series 1. Prove that each of the following series converges absolutely: (a) 2" n=1 Σ (-1)"-1 п.3" (х — 5)" (b) n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Convergence of functional series
1. Prove that each of the following series converges
absolutely:
(a)
2"
n=1
(-1)"–1
(Ъ)
Σ
п.3" (х — 5)"
n=1
Transcribed Image Text:Convergence of functional series 1. Prove that each of the following series converges absolutely: (a) 2" n=1 (-1)"–1 (Ъ) Σ п.3" (х — 5)" n=1
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