Do periodic functions, where f (x = 0) = f (x = L), form a vector space? If they do, explicitly show that they satisfy all eight properties required of a vector space. If not, which property fails? Show how it fails.

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Do periodic functions, where f (x = 0) = f (x = L), form a vector space? If they do, explicitly show that they satisfy all eight properties required of a vector space. If not, which property fails? Show how it fails.

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