If _ x 0 3 + x + x + _e(1 - x) 3 ^2x = 13, then 2α – β is equal to:

JEE Main 2024 Mathematics question

If , then 2α – β is equal to:

Answer: (D)

The denominator → 0, so the numerator must → 0: 3 + β = 0, β = –3. Applying L'Hôpital's rule twice,

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Question ID VK-016637