Consider the power series Σ (п+1)!(2ӕ — 5)"+2 9" (п + 3)2 n=0 1. The center of the power series is at æ = 2. The radius of convergence of the power series is 3. The interval of convergence is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the power series
(n + 1)!(2x – 5)"+2
9" (n + 3)2
n=0
1. The center of the power series is at x =
2. The radius of convergence of the power series is
3. The interval of convergence is
(n + 2)!
is
(-1)"(n+1)!
The series
and the series
is
9"(n + 3)2
(n + 3)³
n=0
n=1
When you have to enter your solution, if you find a number with decimals, round it at the first two decimals (e.g. enter 1.12 instead of 1.123, and 1.5 intead of 3/2)
Transcribed Image Text:Consider the power series (n + 1)!(2x – 5)"+2 9" (n + 3)2 n=0 1. The center of the power series is at x = 2. The radius of convergence of the power series is 3. The interval of convergence is (n + 2)! is (-1)"(n+1)! The series and the series is 9"(n + 3)2 (n + 3)³ n=0 n=1 When you have to enter your solution, if you find a number with decimals, round it at the first two decimals (e.g. enter 1.12 instead of 1.123, and 1.5 intead of 3/2)
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