series

**karimath** · December 13th 2009, 08:37 AM

Hi all,

Discuss cnvergence:

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

**Krizalid** · December 13th 2009, 05:26 PM

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.

**karimath** · December 14th 2009, 05:20 AM

Thank you very much

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