JEE Advanced 2024 Paper 1 Mathematics Q1

Mathematics

Problem

Let f(x) be a continuously differentiable function on the interval (0, ∞) such that f(1) = 2 and lim[t→x] (t¹⁰f(x) − x¹⁰f(t))/(t⁹ − x⁹) = 1 for each x > 0. Then, for all x > 0, f(x) is equal to

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