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Let f(x) satisfy the requirements of Lag...

Let f(x) satisfy the requirements of Lagrang's mean value theorem in [0, 2]. If f(0)=0 and `|f'(x)|le1//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 in [0,2]

Text Solution

Verified by Experts

The correct Answer is:
B
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