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

Let f(x) satisfy the requirements of Largrange's Mean Value Theorem in [0, 2]. 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 in [0, 2]

Text Solution

Verified by Experts

The correct Answer is:
B
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