JEE Main 2024 Mathematics question

MathematicsLimitJEE Main 2024

Let f : ℝ → (0, ∞) be a strictly increasing function such that . Then, the value of is equal to

Answer: (A)

Solution

Since f is increasing, for x > 0 we have f(x) ≤ f(5x) ≤ f(7x). Dividing by f(x), 1 ≤ f(5x)/f(x) ≤ f(7x)/f(x).

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Question ID VK-017255