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Find the n'th Fourier approximation for f(x) = x on the interval [-, π]. Assume that your approximation converges to f(x) = x when x E (-, π). Use this series to argue that: get /4 0.7853? 1 Σ(-1)* +1 2k-1 k=1 The convergence of this series is slow. How many terms are needed to π 4

Find the n'th Fourier approximation for f(x) = x on the interval [-, π]. Assume that your approximation converges to f(x) = x when x E (-, π). Use this series to argue that: get /4 0.7853? 1 Σ(-1)* +1 2k-1 k=1 The convergence of this series is slow. How many terms are needed to π 4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Find the n'th Fourier approximation for f(x) = x on the interval [-, π]. Assume that your approximation converges to f(x) = x when x € (-1, 1). Use this series to argue that: get /4 0.7853? 1 T Σ(-1)+1 2k - 1 4 The convergence of this series is slow. How many terms are needed to k=1
Transcribed Image Text:Find the n'th Fourier approximation for f(x) = x on the interval [-, π]. Assume that your approximation converges to f(x) = x when x € (-1, 1). Use this series to argue that: get /4 0.7853? 1 T Σ(-1)+1 2k - 1 4 The convergence of this series is slow. How many terms are needed to k=1
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