Let f be a differentiable function on {R} such that f( 2)= 1, f( 2)=4. Let \lim_{x \rightarrow 0}(f(2+x))^{3 \/ x}=e^\alpha. Then the number of times the curve y=4 x^3-4 x^2-4(\alpha-7) x-\alpha meets x-axis is: [4 Apr 2025 Shift 2]

JEE Main 4 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 1 of 75

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Let f be a differentiable function on R such that f(2)= 1, f(2)=4. Let

lim

x⟶0

(f(2+x))3∕x=eα. Then the number of times the curve y=4x3−4x2−4(α−7)x−α meets x-axis is:

[4 Apr 2025 Shift 2]

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