If \(x\) and \(y\) are distinct positive reals, prove the inequality

\[ \large \sqrt{xy} < \frac{y-x}{\ln(y) - \ln(x)} < \frac{x+y}2. \]

If \(x\) and \(y\) are distinct positive reals, prove the inequality

\[ \large \sqrt{xy} < \frac{y-x}{\ln(y) - \ln(x)} < \frac{x+y}2. \]

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestLet \(\large y=\displaystyle\lim _{ h\rightarrow 0 }{ x+h } \). – Rohit Ner · 1 year, 6 months ago

Log in to reply