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If the fourier coefficient bn of a periodic function is zero, then it must possess ----------- symmetry.a.Oddb.Even

Question

If the fourier coefficient bn of a periodic function is zero, then it must possess ----------- symmetry.a.Oddb.Even

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Solution

If the Fourier coefficient bn of a periodic function is zero, then the function must possess even symmetry. This is because bn is associated with the sine terms in the Fourier series, which represent the odd part of the function. If bn is zero, it means the function does not have an odd part, hence it is even.

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