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Question Number 30190 by abdo imad last updated on 17/Feb/18
$${study}\:{the}\:{sequence}\:{u}_{{n}+\mathrm{1}} =\sqrt{\frac{\mathrm{1}\:+{u}_{{n}} ^{\mathrm{2}} }{\mathrm{2}}}\:\:\:{with}\:−\mathrm{1}<{u}_{\mathrm{0}} <\mathrm{1}\:. \\ $$