Given the function cos x, 0< x < T, f (x) = -T < x < 0, and f(x + 27) = f(x) otherwise a) Find the Fourier series of f. b) For which values of x E (-7, T| does the Fourier series converge to f?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given the function
cos x, 0<x < T,
f (x) =
-T < x < 0,
and f(x + 27) = f(x) otherwise
a) Find the Fourier series of f.
b) For which values of x E -7, T| does the Fourier series converge to f?
Transcribed Image Text:Given the function cos x, 0<x < T, f (x) = -T < x < 0, and f(x + 27) = f(x) otherwise a) Find the Fourier series of f. b) For which values of x E -7, T| does the Fourier series converge to f?
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