JEE Advanced 2024 Paper 2 Mathematics Q10

Mathematics

Problem

Let the function f : ℝ → ℝ be defined by f(x) = {sin x (x²⁰²³ + 2024x + 2025)}/{e^(πx)(x² − x + 3)} + {2(x²⁰²³ + 2024x + 2025)}/{e^(πx)(x² − x + 3)}. Then the number of solutions of f(x) = 0 in ℝ is ________.

Browse the problem library