Let f(x) ba a differentiable on the inte...

Let f(x) ba a differentiable on the interval `(0, oo)` such that f(1)=1, and `lim_(trarrx)(t^2f(x)-x^2f(t))/(t-x)=1` for each `x gt0`. Then f(x) is

`1/(3x)+(2x^2)/3`

`-1/(3x)+(4x^2)/3`

`-1/x+2/x^2`

`1/x`

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