# Math Help - series

1. ## series

Hi all,

Discuss cnvergence:

$
\sum\limits_{n = 3}^\infty {(\frac{{2^n + n}}{{3^n - n}}} )

$

2. the following inequality holds for $n\ge1:$

$\frac{2^{n}+n}{3^{n}-n}<\frac{2^{n+2}}{3^{n}}.$

now it's just a simple a direct comparison test with the geometric series.

3. Thank you very much