JEE Main 2024 Mathematics question

MathematicsLimitJEE Main 2024

Let , x ∈ R. Then is equal to

Answer: (B)

Solution

sin(1 − eᵗ) ≈ −t − t²/2 − …, so the integrand ≈ −t²/2 and f(x) ≈ −x³/6.

Question ID VK-011375