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Question Number 32299 by abdo imad last updated on 22/Mar/18

find tbe nature of the serie Σ_(n≥1)  ((e^(1/n)   +e^(−(1/n)) )/n) .

$${find}\:{tbe}\:{nature}\:{of}\:{the}\:{serie}\:\sum_{{n}\geqslant\mathrm{1}} \:\frac{{e}^{\frac{\mathrm{1}}{{n}}} \:\:+{e}^{−\frac{\mathrm{1}}{{n}}} }{{n}}\:. \\ $$$$ \\ $$

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