JEE Math Practice Question
Let the function $f:[0,1] \rightarrow \mathbb{R}$ be defined by \[ f(x)=\frac{4^{x}}{4^{x}+2} \] Then what is the value of \[ f\left(\frac{1}{40}\right)+f\left(\frac{2}{40}\right)+f\left(\frac{3}{40}\right)+\cdots+f\left(\frac{39}{40}\right)-f\left(\frac{1}{2}\right) \]?
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