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I have this sum:

[tex]

\sum_{n = 1}^{\infty} \frac{n^2}{ \left( 2 + \frac{1}{n} \right)^{n}}

[/tex]

I tried d'Alembert, I tried comparing it with [itex]\frac{1}{2^{n}}[/itex], but without success.

Could somebody point me to the right direction please?

Thank you.

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# Homework Help: Another sum - convergence

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