If a = _ x 0 1+ 1+x^4 - 2 x^4 and b = _ x 0 ^2x 2- 1+ x , then the value of ab³ is :

JEE Main 2024 Mathematics question

If and , then the value of ab³ is :

Answer: (B)

Rationalising, a = (1/(2√2)) lim (√(1+x⁴) − 1)/x⁴ = (1/(2√2))(1/2) = 1/(4√2). For b, multiply by (√2 + √(1+cos x)): b = lim

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Question ID VK-016718