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(a) Use differentiation to find a power series representation for 1 f(x) (5 + x)2 ° 00 f(x) = E ( n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for f(x) (5 + x)3 00 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) = (5 + x)3 f(x) = n = 2 What is the radius of convergence, R? R =

(a) Use differentiation to find a power series representation for 1 f(x) (5 + x)2 ° 00 f(x) = E ( n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for f(x) (5 + x)3 00 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) = (5 + x)3 f(x) = n = 2 What is the radius of convergence, R? R =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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(a) Use differentiation to find a power series representation for 1 f(x) (5 + x)2 Σ f(x): n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for 1 f(x) (5 + x)3 00 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) (5 + x)3 00 f(x) = O n = 2 What is the radius of convergence, R? R =
Transcribed Image Text:(a) Use differentiation to find a power series representation for 1 f(x) (5 + x)2 Σ f(x): n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for 1 f(x) (5 + x)3 00 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) (5 + x)3 00 f(x) = O n = 2 What is the radius of convergence, R? R =
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