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Question Number 800 by 123456 last updated on 15/Mar/15

Σ_(n=0) ^(+∞) ((n∙cos((n/π^n )))/(1+n^2 )) converge ou diverge?

$$\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\frac{{n}\centerdot\mathrm{cos}\left(\frac{{n}}{\pi^{{n}} }\right)}{\mathrm{1}+{n}^{\mathrm{2}} }\:{converge}\:{ou}\:{diverge}? \\ $$

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