Mathematics · 2024
JEE Main · 5 April 2024, Shift 1 · Q7
If the function f(x)=(sin 3 x+α sin x-β cos 3 x)/x^3, x ∈ R, is continuous at x=0, then f(0) is equal to:
If the function $\displaystyle f(x)=\frac{\sin 3 x+\alpha \sin x-\beta \cos 3 x}{x^3}, x \in \mathbf{R}$, is continuous at $\displaystyle x=0$, then $\displaystyle f(0)$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle -4$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.