Determine whether the following sequences converge or diverge. Answer "Converges" or "Diverges."

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? Converges Diverges 1. $\lbrace0,2,0,0,2,0,0,0,2, \ldots\rbrace$

? Converges Diverges 2. $\displaystyle a_n = \frac{\sin 4 n}{1+\sqrt{n}}$

? Converges Diverges 3. $\displaystyle a_n = \frac{n^n}{n!}$

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Note: You only have two attempts at this problem.

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