Ononot — Evaluate \lim{n \to \infty} \left( \frac{1}{n^2} \sum{k=1}^{

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Limits & Continuityhard

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Evaluate $\lim_{n \to \infty} \left( \frac{1}{n^2} \sum_{k=1}^{n} \lfloor kx \rfloor \right)$ for a fixed $x > 0$ .