Let (x) satisfy the required of Largrang...

Let (x) satisfy the required of Largrange's Meahn value theorem in [0,3]. If `f(0)=0 and |f'(x)| le (1)/(2) "for all" x in [0,2]` then

A

`f(x) le 2`

B

`|f(x)| le 1`

C

`f(x) =2x`

D

`f(x) =3` for at least one x is [0, 2]

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The correct Answer is:

B

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