. (a) Compute the Fourier sine series expansion of f(x) = 3x - x² on [0,3]. (b) To what value does this series converge at x = 1? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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1. (a) Compute the Fourier sine series expansion of f(x) = 3x – x² on [0, 3].
(b) To what value does this series converge at x = 1? Explain.
Transcribed Image Text:1. (a) Compute the Fourier sine series expansion of f(x) = 3x – x² on [0, 3]. (b) To what value does this series converge at x = 1? Explain.
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