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Visualizing Euler's Constant
Euler's constant is
.
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.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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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.
RELATED LINKS
Euler–Mascheroni Constant
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Visualizing Euler's Constant
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VisualizingEulersConstant/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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