Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Please answer all parts of question 1
(1) Find the radius and the interval of convergence of the power series. Be sure to check the
endpoints.
(2) Σ(-1)".
n=0
00
(b) Σ
n=0
χ2η
n!
th
n(n + 1)
(Σ (1)" xan
4n
n=0
(1) Σ
n=0
(3x)"
(2n)!
(e)
n=0
00
(x - 2)2
(n + 1)3n+2
r3n+1
(3n + 1)!
(f) Σ(-1)",
n=0
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Transcribed Image Text:(1) Find the radius and the interval of convergence of the power series. Be sure to check the endpoints. (2) Σ(-1)". n=0 00 (b) Σ n=0 χ2η n! th n(n + 1) (Σ (1)" xan 4n n=0 (1) Σ n=0 (3x)" (2n)! (e) n=0 00 (x - 2)2 (n + 1)3n+2 r3n+1 (3n + 1)! (f) Σ(-1)", n=0
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