1. Determine the radius of convergence of the series Σar", where an is given by: (a) 1/n". (b) na/n!, where a is a fixed real number. (c) n/n!.
1. Determine the radius of convergence of the series Σar", where an is given by: (a) 1/n". (b) na/n!, where a is a fixed real number. (c) n/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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Transcribed Image Text:1. Determine the radius of convergence of the series an", where an is given by:
(a) 1/n".
(b) nº/n!, where a is a fixed real number.
(c) n" /n!.
(d) (log n)-¹, n ≥ 2.
(e) (n!)²/(2n)!.
(f) n-Ö
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