MathDB
2015 BMT Spring Analysis 9

Source:

January 20, 2022
limitsreal analysis

Problem Statement

Find lim⁡n→∞1n3(n2−12+n2−22+…+n2−(n−1)2).\lim_{n\to\infty}\frac1{n^3}\left(\sqrt{n^2-1^2}+\sqrt{n^2-2^2}+\ldots+\sqrt{n^2-(n-1)^2}\right).
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