# Napier's Inequality (II)

Napier's Inequality (II)

Napier's inequality: If then <<.

0<a<b,

1

b

lnb-lna

b-a

1

a

Observe that in the graphic, dx, the area under the curve on the interval , is between the red and blue areas.

b

∫

a

1

x

y=

1

x

(a,b)