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Connecting Multiple Representations of Limits Practice Test
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Q1
The expression $$\lim_{n \to \infty} \sum_{k=1}^{n} \sin\left(\frac{\pi k}{n}\right) \frac{\pi}{n}$$ is the limit of a Riemann sum for a certain definite integral. Which of the following definite integrals represents this limit?
The expression $$\lim_{n \to \infty} \sum_{k=1}^{n} \sin\left(\frac{\pi k}{n}\right) \frac{\pi}{n}$$ is the limit of a Riemann sum for a certain definite integral. Which of the following definite integrals represents this limit?