Definite Integration
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Question : 5 of 46
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Let f : ( 0 , 1 ) → ℝ be the function defined as f ( x ) = √ n if x ∈ [ 1 ∕ n + 1 , 1 ∕ n ) where n ∈ ℕ . Let g : ( 0 , 1 ) → ℝ be a function such that
√ 1 − t ∕ t dt < g ( x ) < 2 √ x for all x ∈ ( 0 , 1 ) . Then
f ( x ) g ( x )
[JEE Adv 2023 P1]
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