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Cesàro Sums of Some Unit Sequences
Consider the series with terms , namely . The series does not converge because its sequence of partial sums, , does not have a limit as . However, this sequence has the limit , which is known as its Cesàro sum.
Experiment with different sign patterns to see the effect on the averages of the partial sums of the terms.




"Cesàro Sums of Some Unit Sequences" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/CesaroSumsOfSomeUnitSequences/
Contributed by: George Beck
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