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Visualizing Euler's Constant

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Euler's constant is .

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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.

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

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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.

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