Hey guys,

Just wondering would you be able to help me with this question. I know of a proof using calculus, but I think there may be another method.

$\displaystyle \left( {\frac{a+1}{b+1}}\right) ^{b+1} > \left( \frac{a}{b} \right) ^{b}$

for $\displaystyle a > b > 0$