Abel's Limit Theorem
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Theorem
Let $\sequence {a_i}$ be a convergent series.
The limit which is assigned by the Abel summation method exists and equals the sum of the series.
Proof
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Also see
Source of Name
This entry was named for Niels Henrik Abel.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Entry: Abel's limit theorem
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: Abel's Limit Theorem