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

`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_(xto0+)int f'((1)/(x))=1`

B

`lim_(xto0+)x int f((1)/(x))=1`

C

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

D

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

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A, D
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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
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