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Let f:(0,oo)rarr(0,oo) be a derivable fu...

Let `f:(0,oo)rarr(0,oo)` be a derivable function and F(x) is the primitive of f(x) such that `2(F(x)-f(x))=f^(2)(x)` for any real positive x

A

f is strictly increasing

B

`underset(xrarroo)"lim"f(x)/(x)=1`

C

f is strictly decreasing

D

f is non-monotonic

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A, B
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