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Or do i need to use a comparison test?

I know that those two conditions have to be met for it to be convergent...

is it
\[\sum_{n=1}^{\infty}\frac{(-1)^n}{n^3}\]

yes thats it

it not only converges, but it converges absolutely

and i wasnt sure if the former was true

yeah only need the terms go to zero

ok, thanks satellite

\[\sum\frac{(-1)^n}{n}\] for example converges, although not absolutely

hell, even
\[\sum\frac{(-1)^n}{\ln(n)}\] converges

its converges conditionally right?

ok thanks you for your help! much appreciated

yw