The value of $\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{{{x^2} + 2x + 3}}{{2{x^2} + x + 5}}} \right)^{\frac{{3x - 2}}{{3x + 2}}}}$, is

JEE MATHEMATICS MCQ: LIMITS

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The value of

\lim\limits_{x \to \infty } {\left( {\frac{{{x^2} + 2x + 3}}{{2{x^2} + x + 5}}} \right)^{\frac{{3x - 2}}{{3x + 2}}}}

, is

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Correct option: D

None of these

Option D (None of these) is correct because the limit evaluates to 1/2, which is not among the given options.

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