If \( f(x+y)=f(x) f(y) \) and \( \sum_{x=1}^{\infty} f(x)=2, x, y \in N \) Where \( \mathrm{N} \) is the set of all natu…

If \( f(x+y)=f(x) f(y) \) and \( \sum_{x=1}^{\infty} f(x)=2, x, y \in N \) Where \( \mathrm{N} \) is the set of all natural numbers, then the value of \( \frac{f(4)}{f(2)} \) is :

[JEE Main 2020, 6 Sep (Shift 1)]