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