JEE Main 2022 · 27 Jun · Shift 1, Mathematics question 21

Let $f:\mathbb R\to\mathbb R$ be a function defined by $f(x)=\dfrac{2e^{2x}}{e^{2x}+e}$. Then $f\left(\dfrac1{100}\right)+f\left(\dfrac2{100}\right)+f\left(\dfrac3{100}\right)+\dots+f\left(\dfrac{99}{100}\right)$ is equal to ______.