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∞xk Use the power series f(x) = In (1-x) = -Σ, for -1

∞xk Use the power series f(x) = In (1-x) = -Σ, for -1

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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00xk Use the power series f(x) = In (1-x) = - Σ, for -1 <x< 1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series. k=1 p(x) = 3x4 In (1-x) Which of the following is the power series representation for p(x)? O A. -4 O C., 00 00 k=1 3k k Σ in (1 - (3x)4+k) k=1 C B. OD. M8 M8 -3 Σ -3 Σ 4k ₂4+k
Transcribed Image Text:00xk Use the power series f(x) = In (1-x) = - Σ, for -1 <x< 1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series. k=1 p(x) = 3x4 In (1-x) Which of the following is the power series representation for p(x)? O A. -4 O C., 00 00 k=1 3k k Σ in (1 - (3x)4+k) k=1 C B. OD. M8 M8 -3 Σ -3 Σ 4k ₂4+k
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