Question

series diverges, correct?

Answer 1

\[\Large \sum_{n=1}^{\infty}\frac{(-2)^n}{n^2}\]
\[\Large \lim_{n \rightarrow \infty}A_n = \lim_{n \rightarrow \infty}\frac{(-2)^n}{n^2}=\infty~~~({\rm Does~~Not~~Exist})\]

Answer 2

Oh, NOTE:
the result of the above limit proves that sequence diverges.

Answer 3

oh, it is not infinity either, it alternates between + - infinity.