JEE Advanced 2019 Paper 2 Mathematics Q5

Mathematics

Problem

Let f(x) = sin(πx)/x², x > 0. Let x₁ < x₂ < x₃ < ⋯ < xₙ < ⋯ be all the points of local maximum of f and y₁ < y₂ < y₃ < ⋯ < yₙ < ⋯ be all the points of local minimum of f. Then which of the following options is/are correct?

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