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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"Cesàro Summation"
http://demonstrations.wolfram.com/CesaroSummation/
Wolfram Demonstrations Project
Published: March 7 2011