Using either the Integral or Comparison Tests, determine whether the following series converge or diverge. Answer "Converges" or "Diverges."

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? Converges Diverges 1. $\displaystyle \sum_{n=1}^{\infty}\frac{5-2\sqrt{n}}{n^3}$

? Converges Diverges 2. $\displaystyle \sum_{n=1}^{\infty}\frac{n!}{n^{n}}$

? Converges Diverges 3. $\displaystyle \sum_{n=1}^{\infty}\frac{2n^2+7n}{5^n(n^2+5n-1)}$

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Note: You only have two attempts at this problem.

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