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Napier's Inequality (I)
Napier's inequality: If
, then
.
Observe that in the graphic,
, the slope of the secant line passing through
and
, is between the slopes of the tangent lines at
and
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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Reference: R. Nelsen, "Napier's Inequality (Two Proofs),"
The College Mathematics Journal
,
24
(2), 1993 p. 165.
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Napier's Inequality
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"
Napier's Inequality (I)
" from
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http://demonstrations.wolfram.com/NapiersInequalityI/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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