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JEE Main 2025 Mathematics question

MathematicsApplication of DerivativesJEE Main 2025

Let f be a differentiable function on R such that f(2) =1, f '(2) = 4. Let . Then the number of times the curve meets x-axis is:

Answer: (1)

Solution

Evaluating the limit gives . Substituting gives , which touches x-axis at one

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Question ID VK-002943