The value of $\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{{x + 6}}{{x + 1}}} \right)^{x + 4}}$, is

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

The value of

\lim\limits_{x \to \infty } {\left( {\frac{{x + 6}}{{x + 1}}} \right)^{x + 4}}

, is

View answer and explanation

Correct option: D

{e^5}

Option D (

{e^5}

) is correct because it is the result of evaluating the limit of the given expression as x approaches infinity, using the standard limit form for e.

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