Let f:(0,∞)→(0,∞) be a differentiable function such that f(1)=e – InterviewSolution

1.	Let f:(0,∞)→(0,∞) be a differentiable function such that f(1)=e and limt→xt2f2(x)−x2f2(t)t−x=0. If f(x)=1, then x is equal to
Answer» Let $f : (0, \infty) \to (0, \infty)$ be a differentiable function such that $f (1) = e$ and $lim t \to x \frac{t^{2} f^{2} (x) - x^{2} f^{2} (t)}{t - x} = 0$ . If $f (x) = 1$ , then $x$ is equal to

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