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Question Number 53779 by maxmathsup by imad last updated on 25/Jan/19

Σ u_n is a convergent serie (u_n >0)  find nature of the serie  1) Σ ((√u_n )/n)  2)Σ  (u_n /(1+u_n ))

$$\Sigma\:{u}_{{n}} {is}\:{a}\:{convergent}\:{serie}\:\left({u}_{{n}} >\mathrm{0}\right)\:\:{find}\:{nature}\:{of}\:{the}\:{serie} \\ $$ $$\left.\mathrm{1}\right)\:\Sigma\:\frac{\sqrt{{u}_{{n}} }}{{n}} \\ $$ $$\left.\mathrm{2}\right)\Sigma\:\:\frac{{u}_{{n}} }{\mathrm{1}+{u}_{{n}} } \\ $$

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