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Question Number 62035 by maxmathsup by imad last updated on 14/Jun/19
$${study}\:{the}\:{sequence}\:\:{U}_{{n}+\mathrm{1}} =\sqrt{{U}_{{n}} \:+\frac{\mathrm{1}}{{n}+\mathrm{1}}}\:\:{with}\:\:{U}_{\mathrm{0}} =\mathrm{1}\:. \\ $$