2 Let f be an arbitrary complex function on R', and define p(x, 8) = sup {If(s)-f(t): s, t e (x - 8, x+ 8)}, %3D p(x) = inf {o(x, 8): 8 > 0}. %3D Prove that o is upper semicontinuous, that f is continuous at a point x if and only if o(x) = 0, and hence that the set of points of continuity of an arbitrary complex function is a G,.

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