A Monotone Sequence Bounded by e

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The slope of the black line is less than the slope of the red line, which is less than the slope of the line . Then for each we have:

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, therefore .

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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: R. B. Nelsen, "Proof without Words: A Monotone Sequence Bounded by e," Mathematics Magazine, 67(5), 1994 p. 379.



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