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Use the power series 1 = Σ( Σ(-1)-1-1, x +1 n=1 to find a power series, centered at 0, of the following functions and give its validity. 2 a. f(x) = (x + 1)³ b. f(x) = ln(1 — x²) -

Use the power series 1 = Σ( Σ(-1)-1-1, x +1 n=1 to find a power series, centered at 0, of the following functions and give its validity. 2 a. f(x) = (x + 1)³ b. f(x) = ln(1 — x²) -

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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1. Use the power series 1 Σ(-1)^-1-1, x+1 n=1 to find a power series, centered at 0, of the following functions and give its validity. 2 a. f(x) (x + 1)³ b. f(x) = ln(1-x²) 1
Transcribed Image Text:1. Use the power series 1 Σ(-1)^-1-1, x+1 n=1 to find a power series, centered at 0, of the following functions and give its validity. 2 a. f(x) (x + 1)³ b. f(x) = ln(1-x²) 1
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