Mathematics · 2024
JEE Main · 4 April 2024, Shift 2 · Q9
Let f(x)=∫_0^x(t+ sin (1-e^t)) d t, x ∈ R. Then, lim_x → 0 (f(x))/x^3 is equal to
Let $\displaystyle f(x)=\int_0^x\left(t+\sin \left(1-e^t\right)\right) d t, x \in \mathbb{R}$. Then, $\displaystyle \lim _{x \rightarrow 0} \frac{f(x)}{x^3}$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle -\frac{1}{6}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.