Mathematics · 2022
JEE Main · 29 July 2022, Shift 1 · Q5
If lim_x → 0 (α e^x+β e^-x+γ sin x)/(x sin^2 x)=2/3, where α, β, γ ∈ R, then which of the following is NOT correct?
If $\displaystyle \lim _{x \rightarrow 0} \frac{\alpha \mathrm{e}^x+\beta \mathrm{e}^{-x}+\gamma \sin x}{x \sin ^2 x}=\frac{2}{3}$, where $\displaystyle \alpha, \beta, \gamma \in \mathbf{R}$, then which of the following is NOT correct ?
Official answer
(3)
$\displaystyle \alpha \beta^2+\beta \gamma^2+\gamma \alpha^2+3=0$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.