JEE Math Practice Question
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 :
- A.$$\frac{14}{5}$$
- B.$$\frac{3}{2}$$
- C.$$\frac{5}{2}$$
- D.$$\frac{7}{2}$$
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