## Calculus (3rd Edition)

Given $$\sum_{n=1}^{\infty} (-1)^{n} n^2$$ Since \begin{align*} \lim _{n \rightarrow \infty} (-1)^{n} n^2\neq 0 \end{align*} Since the $n$th term $a_{n}$ does not converge to zero, thus the series diverges.