Find the radius of convergence and interval of convergence of each series. (3η)! (3x − 1)η η2η 3η 00 (2) Σ n=1 χη 00 (b) Σ n=1 00 (c) Σ n=2 x2η n(Inn)2

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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3. Find the radius of convergence and interval of convergence of each series.
(a) Σ (3n)!
(3x - 1)n
3n
n=1
n2n
-xn
(b)
8
n=1
∞
(c) Σ
x²n
n=2 n (Inn)²
Transcribed Image Text:3. Find the radius of convergence and interval of convergence of each series. (a) Σ (3n)! (3x - 1)n 3n n=1 n2n -xn (b) 8 n=1 ∞ (c) Σ x²n n=2 n (Inn)²
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