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

B

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

C

`lim_(xto0+)x^(2)'((1)/(x))=1`

D

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

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