Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Cesàro Sums of Some Unit Sequences

Initializing live version
Download to Desktop

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

Snapshots

Details

detailSectionParagraph
Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send