here is the problem:

http://img255.imageshack.us/img255/4224/54516302vs6.png
it completely looks like it would diverge.

could i use the direct comparison test to show that?

first it can't converge absolutely because the absolute value of the series is a divergent p series p <= 1 not meeting the standards of a p series.

also, could i compare this to the harmonic series and show that the original series in the pic, is actually larger than the harmonic series, showing that it diverges alltogether.

thanks.