The value of $\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{{3x - 4}}{{3x + 4}}} \right)^{\left( {\frac{{x + 1}}{3}} \right)}}$, is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The value of

\lim\limits_{x \to \infty } {\left( {\frac{{3x - 4}}{{3x + 4}}} \right)^{\left( {\frac{{x + 1}}{3}} \right)}}

, is

View answer and explanation

Correct option: A

{e^{ - 2/3}}

Option A (

{e^{ - 2/3}}

) is correct because after simplifying the expression and applying the limit, the result is

{e^{ - 2/3}}

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