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If int_(0)^(x)2xf^(2)(t)dt=(int_(0)^(x)2f(x-t)dt)^(2) for f(1)=1 and f(x) is comtinuos function for xgto and {a_(n)} is a sequence such that a_(n+1)=a_(n)+sqrt(1+a_(n)^(2)) for a=0, if f(x) is an increasing function, then lim_(nto oo)(a_K)/(2^(n-1))= (where k=f(n^(sqrt2-1)))is |
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Answer» `PI//4` |
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