$\mathop {\lim }\limits_{x \to 1} \frac{{{e^{ - x}} - {e^{ - 1}}}}{{x - 1}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

\lim\limits_{x \to 1} \frac{{{e^{ - x}} - {e^{ - 1}}}}{{x - 1}}

is equal to

View answer and explanation

Correct option: B

- \frac{1}{e}

Option B (

\frac{-1}{e}

) is correct because the limit is the derivative of

e^{-x}

evaluated at

x=1

, which equals

\frac{-1}{e}

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