Visualizing Euler's Constant
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]
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.