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(a) Use differentiation to find a power series representation for 1 f(x) !! (4 + x)2 3- (n+1) x" 4"+2 f(x) = n = 0 What is the radius of convergence, R? R = 4 (b) Use part (a) to find a power series for f(x) %3D (4 + x)3 f(x) = n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for x2 f(x) = (4 + x)3 f(x) = What is the radius of convergence, R? Enhanced Feedhack

(a) Use differentiation to find a power series representation for 1 f(x) !! (4 + x)2 3- (n+1) x" 4"+2 f(x) = n = 0 What is the radius of convergence, R? R = 4 (b) Use part (a) to find a power series for f(x) %3D (4 + x)3 f(x) = n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for x2 f(x) = (4 + x)3 f(x) = What is the radius of convergence, R? Enhanced Feedhack

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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176 Subr (a) Use differentiation to find a power series representation for f(x) = (4 + x)2 (n +1) x" 4" +2 f(x) = n = 0 What is the radius of convergence, R? R =4 (b) Use part (a) to find a power series for 1 f(x) %3D (4 + x)" f(x) = Σ n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for x2 f(x) (4+ x) Σ f(x) = n = 2 What is the radius of convergence, R? R = Enhanced Feedhack
Transcribed Image Text:176 Subr (a) Use differentiation to find a power series representation for f(x) = (4 + x)2 (n +1) x" 4" +2 f(x) = n = 0 What is the radius of convergence, R? R =4 (b) Use part (a) to find a power series for 1 f(x) %3D (4 + x)" f(x) = Σ n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for x2 f(x) (4+ x) Σ f(x) = n = 2 What is the radius of convergence, R? R = Enhanced Feedhack
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