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Letvec v_(0) be a fixedvector and vecv_(0)=[(1)/(0)]. Then for n ge 0 a sequence is definedvec v_(n+1)=vec v_(n)+((1)/(2))^(n+1)[(0,-1),(1,0)]^(n+1) vec v_(0) then lim_(n to oo) vecv_(n)=[(alpha), (beta)]. Find (alpha)/(beta) .

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