Let an=sum(r=0)^(n-1)[x+r/n], n in N wh...

Let `a_n=sum_(r=0)^(n-1)[x+r/n], n in N` where [*] =greatest integer function and `b_n=(sum_(r=1)^n a_r)/n^2. if lim_(n->oo) b_n=f(x),` then the value of `lim_(x->1)f(x)`is

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