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Let f:(-oo,oo) -> [0,oo) be a continuous...

Let `f:(-oo,oo) -> [0,oo)` be a continuous function such that `f(x+y)=f(x)+f(y)+f(x)f(y),AAx in Rdot` Also `f'(0)=1.` Then `[f(2)]` equal `([dot]` represents the greatest integer function`)` a. `5` b. `6` c. `7` d. `8`

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