Question

HELP PLEASE

Answer 1

Determine whether the series is convergent or divergent

\[\sum_{n=5}^{\infty} \frac{ 6 }{ n^2-1 }\]

Answer 2

Is there a way to solve this without using telescoping?

Answer 3

@zepdrix @IrishBoy123 @tkhunny

Answer 4

you're getting caught up in the formality, IMHO

Answer 5

Formality?
IMHO? D:

I am lost.

Answer 6

What do you mean by that?

Answer 7

What are the "convergence tests" that you know?

Answer 8

When I look at it, I would just say: "this looks like \(\sum_{n=1}^\infty \frac1{n^2}\), and this one converges. So it converges.

But for a formal proof, you must use the "tests" or "criterions".