4 use any method to determine if the series converges ordiverges give
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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) !}