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)