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Question Number 28436 by abdo imad last updated on 25/Jan/18

study the nature of sequence (u_n ) / u_0 =1 and  u_(n+1) =  (1/(u_(n ) + e^(−n) )) .

$${study}\:{the}\:{nature}\:{of}\:{sequence}\:\left({u}_{{n}} \right)\:/\:{u}_{\mathrm{0}} =\mathrm{1}\:{and} \\ $$$${u}_{{n}+\mathrm{1}} =\:\:\frac{\mathrm{1}}{{u}_{{n}\:} +\:{e}^{−{n}} }\:. \\ $$

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