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**auslmar** Hello,

I'm having trouble interpreting anothher problem. There is a series $\displaystyle a_n = \sum_{n=1}^{\infty}\frac{(5n^\frac{7}{6}+9)}{(8n^9 +4n^6+4*n^3+2)^\frac{1}{2}}$

$\displaystyle a_n$ converges, is a series to which the limit comparison test applies with comparing series a p-series, and is a series to which the limit comparison test applies with comparing series with terms $\displaystyle n^pr^n$, i.e. $\displaystyle \sum_{n=1}^{\infty}n^pr^n$, for some $\displaystyle p$ and $\displaystyle r$ with $\displaystyle r > 0$.

"If the series converges, give the limit within one percent. If the limit does not exist answer infinity, -infinity or DNE as appropriate"

Well, it is given that the series converges, but I don't understand what is being asked by finding the limit within one percent. Find the sum of the series or what? I don't understand how to find the sum of the series, either. If anyone has any ideas as to how I should approach this, I would greatly appreciate it.

Thanks for your help.