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Suppose that f is a differentiable funct...

Suppose that f is a differentiable function with the property that `f(x + y) = f(x) + f(y) + xy and lim_(h->0) 1/h f(h)=3`, where [.] represents greatest integer function, then

A

f is a linear function

B

`f(x)=3x+x^(2)`

C

`f(x)=3x+(x^(2))/(2)`

D

None of these

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