Suppose that the series. anx has radius of convergence 5 and (a) n=1 (c) (b) an(x-7)n n=1 (an + bn)xn bn(x-2)4n n=1 n=1 R = 5 R = 1 9 R = √3 X n=1 bx has radius of convergence 9. Find the radius of convergence of the following series.

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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Suppose that the series
(a) Σ(an+b)xn
(b)
n=1
n=1
an(x-7)n
(c) bn(x-2)4n
n=1
2
n=1
anx has radius of convergence 5 and
R = 5
R =
1
9
R = √3
n=1
box has radius of convergence 9. Find the radius of convergence of the following series.
MY
Transcribed Image Text:Suppose that the series (a) Σ(an+b)xn (b) n=1 n=1 an(x-7)n (c) bn(x-2)4n n=1 2 n=1 anx has radius of convergence 5 and R = 5 R = 1 9 R = √3 n=1 box has radius of convergence 9. Find the radius of convergence of the following series. MY
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