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Question Number 62205 by maxmathsup by imad last updated on 17/Jun/19

study the convergence of  Σ_(n≥1)    n^2  arctan(1+e^(−n) )

$${study}\:{the}\:{convergence}\:{of}\:\:\sum_{{n}\geqslant\mathrm{1}} \:\:\:{n}^{\mathrm{2}} \:{arctan}\left(\mathrm{1}+{e}^{−{n}} \right) \\ $$

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