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If f(x) is a differentiable function suc...

If f(x) is a differentiable function such that f `R to R` and `f( (1)/(n)) =0 AA n ge 1,n in l,` then

A

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

B

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

C

`f(0)=0` but `f'(0)` may or may not be 0

D

`|f(x)|le1 AA x in (0,1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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