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
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