If f(x) = 2^{2x}/2^{2x} + 2, x ∈ R then the value of f(1/2023) + f(2/2023) + f(3/2023) + ....... + f(2022/2023) is

Question

If \(f(x) = \frac{2^{2x}}{2^{2x} +2}, x \in R\) then the value of \(f\left(\frac 1{2023}\right) + f\left(\frac 2{2023}\right)+ f\left(\frac 3{2023}\right) +....+ f\left(\frac{2022}{2023}\right)\) is 

(1) 2011

(2) 1011

(3) 1010

(4) 2021

Answer 1

Correct option is (2) 1011