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If f(x+y)=f(x)f(y) and sum(x=1)^(oo)f(x)...

If `f(x+y)=f(x)f(y) and sum_(x=1)^(oo)f(x)=2,x,y in N`, where N is the set of all natural numbers , then the value of `(f(4))/(f(2))` is :

A

`2/3`

B

`1/9`

C

`1/3`

D

`4/9 `

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