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Use the Ratio Test to determine if the following series converges absolutely or diverges. sum_{n=1}^{infinty}(-1)^nfrac{n^2(n+3)!}{n!8^2^n} Since the limit resulting from the Ratio test is _____,

Use the Ratio Test to determine if the following series converges absolutely or diverges.

\sum_{n=1}^{infinty}(-1)^n\frac{n^2(n+3)!}{n!8^2^n}

Since the limit resulting from the Ratio test is _____, the series converges absolutely.

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