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Let f: R->R be a differentiable functi...

Let `f: R->R` be a differentiable function with `f(0)=0` . If `y=f(x)` satisfies the differential equation `(dy)/(dx)=1/((2+5x)(5x-2))` , then the value of `(lim)_(x->oo)f(x)` is ______

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