(4) A function fe C(T) is Lipschitz continuous if there exists a constant L > 0 such that f(x)- f(y)L\2x - y for all , y e T. Show that if f is Lipschitz continuous, then f satisfies Dini's criterion. Conclude that the Fourier series of the function f(0) := E C(T) converges pointwise to f on T

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