P2 Consider the two power series f(x) = x + Σ n=0 8 g(x) = Σ n=2 (3x)2n+1 (2n + 1)! (x + 1)n 3nn ln(n)' (a) Find their radius of convergence and determine their interval of convergence.
P2 Consider the two power series f(x) = x + Σ n=0 8 g(x) = Σ n=2 (3x)2n+1 (2n + 1)! (x + 1)n 3nn ln(n)' (a) Find their radius of convergence and determine their interval of convergence.
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:P2 Consider the two power series
f(x) = x +
(3x)2n+1
(2n + 1)!
n=0
(x + 1)"
3nn ln(n)
(a) Find their radius of convergence and determine their interval of convergence.
g(x) = Σ
n=2
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