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(a) Use differentiation to find a power series representation for 1 f(x) = (2 + x)² f(x)=(-1)" (n+1) 72 n = 0 What is the radius of convergence, R? R = 2 t 2"+2 X

(a) Use differentiation to find a power series representation for 1 f(x) = (2 + x)² f(x)=(-1)" (n+1) 72 n = 0 What is the radius of convergence, R? R = 2 t 2"+2 X

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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This is practice quizzes I have been trying to do but I keep getting them wrong plz help
(a) Use differentiation to find a power series representation for 1 f(x) = (2 + x)² 8 f(x)= (-1)"(n+1) t 22-2 n = 0 What is the radius of convergence, R? R = 2 (b) Use part (a) to find a power series for 1 (2+ + x) 3* 00 f(x) = Σ( / (-1)" (n + 2)(n+1) n=0 What is the radius of convergence, R? R = 2 (c) Use part (b) to find a power series for f(x) = (2 + x)³ 字 27-3 4
Transcribed Image Text:(a) Use differentiation to find a power series representation for 1 f(x) = (2 + x)² 8 f(x)= (-1)"(n+1) t 22-2 n = 0 What is the radius of convergence, R? R = 2 (b) Use part (a) to find a power series for 1 (2+ + x) 3* 00 f(x) = Σ( / (-1)" (n + 2)(n+1) n=0 What is the radius of convergence, R? R = 2 (c) Use part (b) to find a power series for f(x) = (2 + x)³ 字 27-3 4
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