Cesàro Summation

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The Cesàro sum of an infinite series is given by , provided that this limit exists. If a convergent series has sum , then it is Cesàro summable and has Cesàro sum . A divergent series may still have a well-defined Cesàro sum. This Demonstration considers the series , which is classically divergent but has the Cesàro sum .

Contributed by: Devendra Kapadia (March 2011)
Open content licensed under CC BY-NC-SA


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