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If f(x) is continuos and differentiable ...

If f(x) is continuos and differentiable function such that f(1/n) = 0 for all `n in N`, then

A

f(x) = 0 for all `x in N cup (0,1]

B

f(0) = 0, `f^(')(0) = 0`

C

`f^(')(0) = 0`, f^('')(0) = 0`

D

f(0) and `f^(')(0)` may or may not be zero

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The correct Answer is:
B
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