Find the centre, radius, and interval of convergence for the given power series. Σ 17" (n + 18)' -(7x + 13)" 15 n = 0 The centre of convergence is c= (Type an integer or a simplified fraction.) The radius of convergence is R= (Type an integer or a simplified fraction.) The power series converges absolutely for all xE (Type an integer or a simplified fraction. Type your answer in interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the centre, radius, and interval of convergence for the given power series.
00
Σ
17" (n + 18)15
(7x+ 13)"
n=0
The centre of convergence is c=
(Type an integer or a simplified fraction.)
The radius of convergence is R=|
(Type an integer or a simplified fraction.)
The power series converges absolutely for all xE
(Type an integer or a simplified fraction. Type your answer in interval notation.)
Transcribed Image Text:Find the centre, radius, and interval of convergence for the given power series. 00 Σ 17" (n + 18)15 (7x+ 13)" n=0 The centre of convergence is c= (Type an integer or a simplified fraction.) The radius of convergence is R=| (Type an integer or a simplified fraction.) The power series converges absolutely for all xE (Type an integer or a simplified fraction. Type your answer in interval notation.)
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