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    Cauchy Integral Formula in an annulus

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    Suppose that is analytic on and outside the simple closed negatively oriented contour .
    Assume that is analytic at and .

    Prove by formulating Cauchy's integral formula for in an annulus and letting the outer radius tend to


    for all outside .

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    Solution Summary

    This solution is comprised of a detailed explanation to prove Cauchy Integral Formula in an annulus.