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lf is a differentiable function satisfyi...

lf is a differentiable function satisfying `f(1/n)=0,AA n>=1,n in I`, then

A

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

B

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

C

(c)f(0) = 0 but f'(0) not necessarily zero

D

(d)`|f(x)| le 1, x in (0, 1]`

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The correct Answer is:
B
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