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5. Let / E L'[0, co). For every r 3 0, define the function g by: g(x) = Prove that o is infinitely differentiable almost everywhere on (0, 06). Now suppose that g(x) = 0 for all z > 0. Prove that f = 0 almost everywhere. 6. Let CE L'(R). Prove that lim Fa)f(a + n) ds =0