JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Analyzing +4 | -1

Let

\beta = \lim\limits_{x \to 0} \frac{{\alpha x - \left( {{e^{3x}} - 1} \right)}}{{\alpha x\left( {{e^{3x}} - 1} \right)}}

. Then the value of

\alpha+\beta

View answer and explanation

Correct option: C

\frac{5}{2}

Option C (

\frac{5}{2}

) is correct because it involves using L'Hopital's rule or series expansion to evaluate the limit and then summing

\alpha

and

\beta

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