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If f(x) is a continuous and differenti...

If `f(x)` is a continuous and differentiable function and `f(1/n) = 0 AA n >= I` and `n in I`, then a) f(x) =0 , `x in (0,1]` b) f(c) =0, f'(0)=0 c) f(0)=0=f'(0) , `x in (0,1]` d) `f(0)=0` and `f'(0)` need not be zero

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