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study-the-sequence-u-n-1-1-u-n-2-2-with-1-lt-u-0-lt-1-




Question Number 30190 by abdo imad last updated on 17/Feb/18
study the sequence u_(n+1) =(√((1 +u_n ^2 )/2))   with −1<u_0 <1 .
$${study}\:{the}\:{sequence}\:{u}_{{n}+\mathrm{1}} =\sqrt{\frac{\mathrm{1}\:+{u}_{{n}} ^{\mathrm{2}} }{\mathrm{2}}}\:\:\:{with}\:−\mathrm{1}<{u}_{\mathrm{0}} <\mathrm{1}\:. \\ $$

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