Question

I believe this series is convergent but i'm not sure what test to use to figure it out.

Answer 1

\[\sum_{2}^{\infty}\frac{(-1)^{n}}{(\ln(n))^{2}}\]

Answer 2

alternates, right?

Answer 3

alternating would probably work

Answer 4

Yes I think so

Answer 5

alright

Answer 6

since it alternates \((-1)^n\) tells you that, all that is necessary is that the absolute value of the terms are
a) decreasing and
b) go to zero

Answer 7

which they do

Answer 8

thank you

Answer 9

yw