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Let f:(0,oo)toRR be a differentiable fun...

Let `f:(0,oo)toRR` be a differentiable function such that `f'(x)=2-(f(x))/(x)` for all `x in(0,oo)` and `f(1)ne1`. Then-

A

`underset(xto0^(+))limf'((1)/(x))=1`

B

`underset(xto0^(+))limxf((1)/(x))=2`

C

`underset(xto0^(+))limx^(2)f'(x)=0`

D

`|f(x)|le2" for all "x in(0,2)`

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