Visualizing Euler's Constant

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.

Euler's constant is .

[more]

For each , is the sum of the areas of the rectangles in the graph, and is the area under the curve over the closed interval . Therefore is the area of the green region.

[less]

Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Reference: D. W. Temple, "A Geometric Look at Sequences that Converge to Euler's Constant," The College Mathematics Journal, 37(2), 2006 pp. 128–131.



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