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6. Let X CR” be a compact connected Jordan and suppose that f is a continuous on X. Prove that there exists an xo E X such that f = f(x0)V(X) = X where V is the volume of X. Using this result, if D is a disk in R2 with center a and radius r, prove that 1 lim f = f(a). r=0 πη2 lo = D