If \( f(x+y)=f(x) f(y) \) and \( \sum_{x=1}^{\infty} f(x)=2, x, y \...

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If \( f(x+y)=f(x) f(y) \) and \( \sum_{x=1}^{\infty} f(x)=2, x, y \in N \)
\( \mathrm{P} \)
Where \( \mathrm{N} \) is the set of all natural numbers, then the value
W) of \( \frac{f(4)}{f(2)} \) is :
[JEE Main-2020 (September)]
(a) \( \frac{1}{9} \)
(b) \( \frac{4}{9} \)
(c) \( \frac{1}{3} \)
(d) \( \frac{2}{3} \)
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