The value of the limit $\mathop {\lim }\limits_{x \to 1} \frac{{\sin \left( {{e^{x - 1}} - 1} \right)}}{{\log x}}$ is

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

The value of the limit

\lim\limits_{x \to 1} \frac{{\sin \left( {{e^{x - 1}} - 1} \right)}}{{\log x}}

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Correct option: D

Option D (1) is correct because by substituting and using standard limits, the expression simplifies to 1.

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