Napier's Inequality (I)

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Napier's inequality: If , then .

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Observe that in the graphic, , the slope of the secant line passing through and , is between the slopes of the tangent lines at and .

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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. Nelsen, "Napier's Inequality (Two Proofs)," The College Mathematics Journal, 24(2), 1993 p. 165.



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