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If f:R to T is continuous and differenti...

If `f:R to T` is continuous and differentiable function such that `f((1)/(n))=0` for `ninI` and `bge1`, then :

A

`f'(0)=0=f(0)`

B

`f(0)=0` but `f'(0)` need not be zero

C

`f(x)=0,x in(0,1)`

D

None of these

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The correct Answer is:
A
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