_ x 2 ( 1 (x- 2 )^2 _ x^3 ^ ( 2 )^3 (t^ 1/3 )dt ) is equal to-

JEE Main 2024 Mathematics question

is equal to-

Answer: (D)

The limit is of the form 0/0. Applying L'Hôpital's rule with Leibniz's rule, the numerator's derivative is −cos(x)·3x², so the limit is

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Question ID VK-016898