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Are the following series convergent? If yes, where will they converge?

$$\sum_{n=1}^\infty{\frac{\sin{e^n}} {n}}$$

$$\sum_{n=1}^\infty\left({\frac{\sin{e^n}} {n}}\right)^2$$

$$\sum_{n=1}^\infty{\frac{\arctan{e^n}} {n}}$$

$$\sum_{n=1}^\infty{\frac{\cos{e^n}} {n}}$$

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    what do you mean where? this series are either divergent or spit out a real number...2011-03-27
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    @yoyo thanks. where means to what value they converge if they2011-03-27

3 Answers 3