i need a little help with this problem:(adsbygoogle = window.adsbygoogle || []).push({});

determine if the infinite series converges or diverges.

summation (from n=1..infinity) {1/(n^2+i^n)}

I first applied the ration test to this series and got

(n+1)^2 + i^(n+1) / [n^2 + i^n]

i then multiplied top and bottom by (n^2 - i^n)

which gave

[{(n+1)^2 + i^(n+1) }* (n^2-i^n) ]/{n^4 - i^2n}

this is where i get stuck, i cant seem to simplify it any further.

if some one can give me some advice on it, it would be greatly appreciated.

thanks

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# Complex infinite series

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