Question: 5. Let f : R > R be a function such that there is a constant A > 0 such that f(3:+27r)=/f(3:), VmER. (a) Show

5. Let f : R > R be a function such

5. Let f : R > R be a function such that there is a constant A > 0 such that f(3:+27r)=/\\f(3:), VmER. (a) Show that there is a constant c and a periodic function g : IR > R, with period 27f, such that f(1E) = ecmgt), VI E R. (6) Express the constant c in terms of the constant A

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