If the function f(x) = 3x + x - 3x x^3 , x ∈ R, is continuous at x = 0, then f(0) is equal to:

JEE Main 2024 Mathematics question

If the function , x ∈ R, is continuous at x = 0, then f(0) is equal to:

Answer: (D)

For a finite limit the numerator must vanish to order x³: the constant term gives β

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Question ID VK-011555