JEE Main 2024 Mathematics question
If , then 16(a² + b² + c²) is equal to .
Answer: 81
Solution
Since x² sin x ~ x³, the numerator must be O(x³). Expanding ax²eˣ − b ln(1 + x) + cxe⁻ˣ = (c − b)x + (b/2 − c + a)x² + (a − b/3 + c/2)x³ + …. So c − b = 0, a + b/2 − c = 0 and a
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