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    Power Series (I): Abel's Theorem

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    Complex Variables
    Power Series (I)

    Abel's Theorem: ∞
    If the power series ∑ an zn converges for a particular value zo of z, then it converges absolutely
    n = 0
    for every z for which &#9474;z&#9474;< &#9474;zo&#9474;.

    See the attached file.

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