For continuous functions,
(a) Under what conditions does f(x) equal its Fourier series for all x, −L ≤ x ≤ L?
(b) Under what conditions does f(x) equal its Fourier sine series for all x, 0 ≤ x ≤ L?
(c) Under what conditions does f(x) equal its Fourier cosine series for all x, 0 ≤ x ≤ L?
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