If f (x + y) = f (x) f (y) and 1 () 2 x f x ¥ = å = , x, y Î N, where N is the set of all natural numbers, then the value of (4) (2) f f is :

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

$\frac{2}{3}$
$\frac{1}{9}$
$\frac{1}{3}$
$\frac{4}{9}$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sequences and Series chapter.

JEE Main Previous Year Sep. 06, 2020 (I)

Solution:

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