# Math Help - INequality with powers

1. ## INequality with powers

Need to solve

$(\frac{2011}{n+1})^{n+1}<(\frac{2011}{n})^n
$

Tried natural logs to get

$log_e{ }2011$
Stuck here

Any ideas please?

2. Perhaps cross multiply and cancel to get

$2011n^n<(n+1)^{n+1}$.

This can be put in the form

$2011<(\frac{n+1}{n})^n(n+1)$.

The right hand side is approximately $e(n+1)$ for large $n$.