$\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{{x + 2}}{{x + 1}}} \right)^{x + 3}}$ is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim\limits_{x \to \infty } {\left( {\frac{{x + 2}}{{x + 1}}} \right)^{x + 3}}

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Correct option: B

e

Option B (

e

) is correct because the limit can be evaluated by rewriting the expression and using the standard limit definition of

e

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