Let f: [ 1 2 , 1 ] R (the set of all real numbers) be a positive, non-constant and…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let \(f:\left[\frac{1}{2}, 1\right] \rightarrow \boldsymbol{R}\) (the set of all real numbers) be a positive, non-constant and differentiable function such that f ′(x) < 2 f (x) and \(f\left(\frac{1}{2}\right)\) = 1. Then the value of \(\frac{1}{\equiv} f(x) d x\) lies in the interval
- (2e – 1, 2e)
- (e – 1, 2e – 1)
Answer
(C)
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