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JEE Advanced 2023 Paper 1 Mathematics Q4
Mathematics
Problem
Let f:(0,1)→ℝ be defined as f(x)=√n if x∈[1/(n+1),1/n), where n∈ℕ. Let g:(0,1)→ℝ be such that ∫ₓ²ˣ√((1−t)/t)dt<g(x)<2√x for all x∈(0,1). Then lim_{x→0} f(x)g(x)
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