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Limits Continuity And Differentiability

JEE Main 2022 (Online) 26th July Evening Shift

MCQ+4 / -12022

Let \(\beta=\mathop {\lim }\limits_{x \to 0} \frac{\alpha x-\left(e^{3 x}-1\right)}{\alpha x\left(e^{3 x}-1\right)}\) for some \(\alpha \in \mathbb{R}\). Then the value of \(\alpha+\beta\) is :

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