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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Analyzing +4 | -1
If lim⁡n→∞(n2−n−1+nα+β)=0\lim _{n \rightarrow \infty}\left(\sqrt{n^2-n-1}+n \alpha+\beta\right)=0, then 8(α+β)8(\alpha+\beta) is equal to
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Correct option: C
−4-4
Option C (-4) is correct because, after rationalizing and comparing coefficients, 8(α+β)8(\alpha + \beta) equals -4.

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