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B. Let r > 0 and C. = OB,(0) the circle centred at 0 of radius r. Suppose that f is holomorphic on some open

B. Let r > 0 and C. = OB,(0) the circle centred at 0 of radius r. Suppose that f is holomorphic on some open set containing Cr. Show that gr : 24 f(w) 2mi Ja W - z dw is holomorphic on C \\ Cr, with a removable singularity at 00 so that g(00) = 0

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