# Proving an Inequality

• Jun 1st 2010, 06:51 AM
GIPC
Proving an Inequality
I was thinking of using convex function properties to prove the following inequality but couldn't. I'm not sure what else should I use.

$1-(a/b)
given that $0
• Jun 1st 2010, 07:08 AM
Plato
Quote:

Originally Posted by GIPC
$1-(a/b)
given that $0

Use the mean value theorem to prove Napier's inequality:
$\frac{1}{b}\le\frac{\log(b)-\log(a)}{b-a}\le\frac{1}{a}$.