Cesàro Sums of Some Unit Sequences
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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.[more]
Experiment with different sign patterns to see the effect on the averages of the partial sums of the terms.[less]
Contributed by: George Beck (March 2011)
Open content licensed under CC BY-NC-SA
"Cesàro Sums of Some Unit Sequences"
Wolfram Demonstrations Project
Published: March 7 2011