Mathematics · 2022
JEE Main · 26 July 2022, Shift 2 · Q7
Let β= lim_x → 0 (α x-(e^3 x-1))/(α x(e^3 x-1)) for some α ∈ R. Then the value of α+β is:
Let $\displaystyle \beta=\lim _{x \rightarrow 0} \frac{\alpha x-\left(e^{3 x}-1\right)}{\alpha x\left(e^{3 x}-1\right)}$ for some $\displaystyle \alpha \in \mathbb{R}$. Then the value of $\displaystyle \alpha+\beta$ is :
Official answer
(3)
$\displaystyle \frac{5}{2}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.