# 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 │z│< │zo│.

See the attached file.

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#### Solution Summary

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

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