The value of $\mathop {\lim }\limits_{n \to \infty } \frac{{\sqrt {{n^2} + 1} + \sqrt n }}{{\sqrt[4]{{{n^3} + n - }}\sqrt[4]{n}}}$, is

JEE MATHEMATICS MCQ: LIMITS

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The value of

\lim\limits_{n \to \infty } \frac{{\sqrt {{n^2} + 1} + \sqrt n }}{{\sqrt[4]{{{n^3} + n - }}\sqrt[4]{n}}}

, is

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Correct option: D

None of these

Option D (None of these) is correct because the limit approaches infinity after simplification.

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