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If the fourier coefficient bn of a periodic function is zero, then it must possess ----------- symmetry.a. Oddb. Even◀︎ Assignment 3- Quiz- A1 slot- Dr.LPJump to...

Question

If the fourier coefficient bn of a periodic function is zero, then it must possess ----------- symmetry.a. Oddb. Even◀︎ Assignment 3- Quiz- A1 slot- Dr.LPJump to...

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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 has no odd part, hence it is an even function.

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