n ∈ N
(Un): { ((U_0 =lim _(n→∞) V_n )),((U_(n+1) =(1/2)(U_n +2^(−n) ))) :}
(V_n ): { ((V_(n+1) =(1+((n+1)/n^2 ))V_n )),((V_0 =1)) :}
U_0 =?
lim_∞ U_n =?
1
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