1. Let f(x) = 1- x, -3 ≤ x ≤ 3, f(x+6) = f(x). (a) Find the real-valued Fourier series of f. Write your answer using Sigma notation. (b) Write the first four nonzero terms of the Fourier series from part (a). (c) To what value does the Fourier series converge at x = 3? At x = -3? At x = 4? At x = -4?
1. Let f(x) = 1- x, -3 ≤ x ≤ 3, f(x+6) = f(x). (a) Find the real-valued Fourier series of f. Write your answer using Sigma notation. (b) Write the first four nonzero terms of the Fourier series from part (a). (c) To what value does the Fourier series converge at x = 3? At x = -3? At x = 4? At x = -4?
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Transcribed Image Text:1. Let f(x) = 1- x, -3 ≤ x ≤ 3, f(x+6) = f(x).
(a) Find the real-valued Fourier series of f. Write your answer using Sigma notation.
(b) Write the first four nonzero terms of the Fourier series from part (a).
(c) To what value does the Fourier series converge at x = 3? At x = -3? At x = 4? At x = -4?
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