Question

Let f(x) be a differentiable on (0, ∞) such that f(1) = 1 and lim_{t → x} ((t²f(x) – x²f(t))/(t – x)) = 1 for each x > 0, then f(x) is

Answer 1

Answer is (a) ((1/3x) + (2x²/3))

Explanation:

Given 

Hence, 

the solution is