If _ x 0 (4^x-1)^3 ( x4 ) (1+ x^2 3 ) =96( a)^b, then (a+b)=

MHT CET 2026 Mathematics question

If , then

Answer: (A)

Write the limit as . As : , , . So the denominator behaves as and the limit is

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Question ID VK-098662