The value of $\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{{x - 1}}{{x + 1}}} \right)^x}$, is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

The value of

\lim\limits_{x \to \infty } {\left( {\frac{{x - 1}}{{x + 1}}} \right)^x}

, is

View answer and explanation

Correct option: C

{e^{ - 2}}

Option C (

{e^{-2}}

) is correct because it is the result of manipulating the expression to fit the standard limit definition of e and then evaluating the limit.

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