JEE Advanced 2024 Paper 2 Mathematics Q5

Mathematics

Problem

Let S be the set of all (α, β) ∈ ℝ × ℝ such that lim[x→∞] {sin(x²)(logₑx)^α sin(1/x²)}/{x^(αβ)(logₑ(1 + x))^β} = 0. Then which of the following is (are) correct?

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