- #1
matpo39
- 43
- 0
i need a little help with this problem:
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 can't seem to simplify it any further.
if some one can give me some advice on it, it would be greatly appreciated.
thanks
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 can't seem to simplify it any further.
if some one can give me some advice on it, it would be greatly appreciated.
thanks