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




Question Number 33287 by abdo imad last updated on 14/Apr/18
study the sequence  u_(n+1) = (√((1 +u_n )/2))  with    0<u_0 <1 .
$${study}\:{the}\:{sequence}\:\:{u}_{{n}+\mathrm{1}} =\:\sqrt{\frac{\mathrm{1}\:+{u}_{{n}} }{\mathrm{2}}} \\ $$$${with}\:\:\:\:\mathrm{0}<{u}_{\mathrm{0}} <\mathrm{1}\:. \\ $$

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