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(a) Find a power series representation for f(x) (9 + x)2 (-1)"(n+1)x" f(x) = > 9"+2 n = 0 What is the radius of convergence, R? R = 9 (b) Use part (a) to find a power series representation for x3 f(x) (9 + x)2 = (n- 5)x"-3 (-9)"-4 F(x) = E n = 0 What is the radius of convergence, R? R = 11

(a) Find a power series representation for f(x) (9 + x)2 (-1)"(n+1)x" f(x) = > 9"+2 n = 0 What is the radius of convergence, R? R = 9 (b) Use part (a) to find a power series representation for x3 f(x) (9 + x)2 = (n- 5)x"-3 (-9)"-4 F(x) = E n = 0 What is the radius of convergence, R? R = 11

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) Find a power series representation for f(x) (9 + x)2 (-1)"(n+1)x" f(x) = > 9"+2 n = 0 What is the radius of convergence, R? R = 9 (b) Use part (a) to find a power series representation for x3 f(x) (9 + x)2 = (n- 5)x"-3 (-9)"-4 F(x) = E n = 0 What is the radius of convergence, R? R = 11
Transcribed Image Text:(a) Find a power series representation for f(x) (9 + x)2 (-1)"(n+1)x" f(x) = > 9"+2 n = 0 What is the radius of convergence, R? R = 9 (b) Use part (a) to find a power series representation for x3 f(x) (9 + x)2 = (n- 5)x"-3 (-9)"-4 F(x) = E n = 0 What is the radius of convergence, R? R = 11
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