If _ x a x _a^x f(x) ,dx x - a = a^3 + a^2 (a 0) then f(2a) is

JEE Advanced Mathematics question

If then is

Answer: (B)

The limit is of the form (taking continuous). By L'Hospital's rule (differentiating the numerator with the product rule and the Leibniz rule):

_{x→

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Question ID VK-110470