I am given the following succession/series/sequence:
$$ a_n = \frac{4n^5 +4n^3+n}{5n^4-2n^5+n^2} $$
How do I find out if it converges or diverges and how to find such values.
I am quite lost on the subject.
I've read that in a Geometric succession/series/sequence it is convergent if the ratio is less than 0, but I'm not sure if its a geometric series.
Help is really appreciated, thanks in advance.
PD: My native language is not english so I'm not sure what the appropriate term would be, is it succession, series or sequence.
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