Question: Let f(x) be differentiable on the interval (0,infinity) such that f(1) =1 and lim(tx) t^2 f(x)-x^2f(t)/t-x =1 for each x>0, then f(x) is.

Let f(x) be differentiable on the interval (0,infinity) such that f(1) =1

Let f(x) be differentiable on the interval (0,infinity) such that f(1) =1 and lim(tx) t^2 f(x)-x^2f(t)/t-x =1 for each x>0, then f(x) is.

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