A function \( f(x)\) is given by \( f(x)=\frac{5^x}{5^x+5}\), then the sum of the series \(\ f\left(\frac{1}{20}\right)+…

A function \( f(x)\) is given by \( f(x)=\frac{5^x}{5^x+5}\), then the sum of the series \(\ f\left(\frac{1}{20}\right)+f\left(\frac{2}{20}\right)+f\left(\frac{3}{20}\right)+\ldots .+f\left(\frac{39}{20}\right) \)

[JEE Main 2021, 25 Feb (Shift 2)]