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 .
Wolfram Demonstrations Project
Published: March 7 2011