lim n -> ∞ root(n ^ 2, 3) * (sqrt(n + 1) + sqrt(n - 1) - 2sqrt(n))

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on Nov 27, 2024 at 5:00 am



You asked:

Evaluate the expression: lim⁡n→∞n23(n+1+n−1−2n)\lim_{n \to \infty}{\sqrt[3]{{n}^{2}} \left(\sqrt{n + 1} + \sqrt{n - 1} - 2 \sqrt{n}\right)}

MathBot Answer:

lim⁡n→∞n23(n+1+n−1−2n)=0\lim_{n \to \infty}{\sqrt[3]{{n}^{2}} \left(\sqrt{n + 1} + \sqrt{n - 1} - 2 \sqrt{n}\right)} = 0
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