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A Monotone Sequence Bounded by e
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:
, therefore .


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


"A Monotone Sequence Bounded by e" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/AMonotoneSequenceBoundedByE/
Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
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