4. Use any method to determine if the series converges ordiverges. Give reasons for your answer. \sum_{n=1}^{\infty}(-1)^{n} \frac{(n !)^{n}}{n^{\left(n^{2}\right)}} \sum_{n=1}^{\infty} \frac{(-1)^{n}(3 n) !}{n !(n+1) !(n+2) !}