JEE Advanced 2020 Paper 2 Mathematics Q16

Mathematics

Problem

Let the function f : [0, 1] → ℝ be defined by f(x) = 4ˣ/(4ˣ + 2). Then the value of f(1/40) + f(2/40) + f(3/40) + ⋯ + f(39/40) − f(1/2) is _____.