JEE Advanced 2022 Paper 1 Mathematics Q2

Mathematics

Problem

Let α be a positive real number. Let f:ℝ→ℝ and g:(α,∞)→ℝ be the functions defined by f(x)=sin(πx/12) and g(x)=2 logₑ(√x−√α)/logₑ(e^{√x}−e^{√α}). Then the value of lim_{x→α⁺} f(g(x)) is __________.

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