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Find a power series representation for the function on (−1, 1). 1. f(x) 2 f(x) x² tan-¹(x) = X 1 xn+3

Find a power series representation for the function on (−1, 1). 1. f(x) 2 f(x) x² tan-¹(x) = X 1 xn+3

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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Find a power series representation for the function on (-1, 1). 1. f(x) 2. f(x) 3. f(x) 4. f(x) = 6. f(x) = = = f(x) 22 tan = α Σ n = 0 Σ n=0 α n=0 5. f(x) = Σ n=0 Σ n = 0 α Σ n=0 = 1 n+1 (-1)" 2η + 1 xn+3 1 2n + 1 −1)n n+1 -1(2) x²n+3 x2n+3 xn+3 (-1)" (2n + 1)! x²n+3 (−1)n xn+3 (n + 1)!
Transcribed Image Text:Find a power series representation for the function on (-1, 1). 1. f(x) 2. f(x) 3. f(x) 4. f(x) = 6. f(x) = = = f(x) 22 tan = α Σ n = 0 Σ n=0 α n=0 5. f(x) = Σ n=0 Σ n = 0 α Σ n=0 = 1 n+1 (-1)" 2η + 1 xn+3 1 2n + 1 −1)n n+1 -1(2) x²n+3 x2n+3 xn+3 (-1)" (2n + 1)! x²n+3 (−1)n xn+3 (n + 1)!
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