Wolfram Demonstrations Project

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

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Cesàro Summation