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"Let "f:(0.oo)rarrR" be a differentiabl...

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

A

`lim _( x to 0^(+))f((1)/(x))=1`

B

`lim_(x to 0^+)xf ((1)/(x))=2`

C

`lim_(x to 0^+)x^2f'(x)=0`

D

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

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