Determining Convergence or Divergence
I'm having difficulty determining the behavior of this series.
"Show that the series: converges or diverges by finding a p-series, or geometric series, to use in the comparison test.
Your answer should consist of four items separated by commas.
I compared with
- The first item should be either the word less or the word greater.
- The second item should be an expression for the term bn of the series used in the comparison test.
- The third item should be a natural number N so that the comparison inequality an < bn holds for all n > N or an > bn holds for all n > N
- The fourth item should be the word converges or the word diverges to indicate whether you are saying that the given series Sum(an,n=1..infinity, i.e., http://mapleta.okstate.edu/classes/c...an_1_2_inf.gif, converges or diverges."
> for n > 4.
And since is divergent by p-series, that
was also divergent.
So my answer looks like:
which is incorrect. If anyone can point out where I've gone wrong, I would greatly appreciate it.