JEE Math Practice Question
If f(x + y) = f(x)f(y) and $$\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2$$ , x, y $$ \in $$ N, where N is the set of all natural number, then the value of $${{f\left( 4 \right)} \over {f\left( 2 \right)}}$$ is :
- A.$${2 \over 3}$$
- B.$${1 \over 9}$$
- C.$${1 \over 3}$$
- D.$${4 \over 9}$$
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