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PutnamSuperchallengeIntegrals I: Feynman's Trick

Integrals I: Feynman's Trick · Superchallenge problem

Evaluate lim⁡n→∞1n∑k=1nkn\displaystyle\lim_{n\to\infty} \frac1n\sum_{k=1}^n \sqrt{\frac{k}{n}}.