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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
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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Reference: R. B. Nelsen, "Proof without Words: A Monotone Sequence Bounded by e,"
Mathematics Magazine
,
67
(5), 1994 p. 379.
RELATED LINKS
e
(
Wolfram
MathWorld
)
Monotone Sequence
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
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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