Question

Determine whether the series converges or diverges: 2/((n^2)-1)

Answer 1

Having a bit of trouble here. I used partial fraction decomposition but A and B ended up canceling each other out.

Answer 2

Btw, that's \[\sum_{n=1}^{infinity} 2/((n^2)+1)\]

Answer 3

(n^2)-1) I mean!!
sorry

Answer 4

the series converges, its a p-series, where p>1. You can verify this using the integral test.

Answer 5

that's what i was thinkin

Answer 6

Sorry for not saying this, but the question says to express the series as a telescoping sum.

Answer 7

Ah, the formula is just \[\frac{ 1 }{ n-1 } - \frac{ 1 }{ n+1 }\]