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Let f(x) be differntiable on the interva...

Let `f(x)` be differntiable on the interval `(0,oo)` such that `f(1)=1` and `lim_(t tox)(t^(2)f(x)-x^(2)f(t))/(t-x)=1` for each `xgt0`. Then `f(x)` is :

A

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

B

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

C

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

D

`1/x`.

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The correct Answer is:
A
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  9. If f is a real valued differentiable function satisfying : |f(x)-f(y...

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