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Multiply with the conjugate of $\sqrt{n^2 + 2n} - [ \sqrt{n^2 + 2n} ]$ in both numerator and denominator and put n= infinite then it will result in 0.



Hence A option should be correct.

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practicalmetal asked Nov 26, 2023
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How do we solve this question: $\lim n \to \infty \sqrt{n^2 + n} - {\sqrt{n^2 +1}}$