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(1) Find the radius and the interval of convergence of the power series. Be sure to check the endpoints. 00 th n(n + 1) (2) Σ(-1)". n=0 :00 (b) Σ n=0 χ2η n! (Σ (-1)*.xan 4n n=0 (1) Σ n=0 (3x)" (2n)! (e) n=0 00 Ξ (x - 2)2 (n + 1)3n+2 r3n+1 (3n + 1)! (f) Σ(-1)", n=0

(1) Find the radius and the interval of convergence of the power series. Be sure to check the endpoints. 00 th n(n + 1) (2) Σ(-1)". n=0 :00 (b) Σ n=0 χ2η n! (Σ (-1)*.xan 4n n=0 (1) Σ n=0 (3x)" (2n)! (e) n=0 00 Ξ (x - 2)2 (n + 1)3n+2 r3n+1 (3n + 1)! (f) Σ(-1)", n=0

Advanced Engineering Mathematics
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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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
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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