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Let f be a differentiable function from R to R such that `|f(x) - f(y) | le 2|x-y|^(3/2),` for all `x, y in R`. If `f(0) =1,` then `int_(0)^(1) f^(2)(x) dx` is equal to

A

0

B

2

C

`(1)/(2)`

D

1

Text Solution

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The correct Answer is:
D
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