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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;.

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    © BrainMass Inc. brainmass.com February 24, 2021, 2:37 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/power-series-abels-theorem-33251

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    This solution is comprised of a detailed explanation of the Abel's Theorem in Power Series.
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