Evaluate {n→ ∞ } lim ( sin (frac{π )/(n))+ sin ((2pi )/(n))+...+ sin ((nπ )/(n))}
Question: Evaluate \(\underset{n\to \infty }{\mathop{\lim }}\,\frac{\sin \left( \frac{\pi }{n} \right)+\sin \left( \frac{2\pi }{n} \right)+...+\sin \left( \frac{n\pi }{n} \right)}{n}\) by interpreting it as the limit of Riemann sums for a continuous function f defined on [0, 1].
\(\underset{n\to \infty }{\mathop{\lim }}\,\frac{\sin \left( \frac{\pi }{n} \right)+\sin \left( \frac{2\pi }{n} \right)+...+\sin \left( \frac{n\pi }{n} \right)}{n}\)
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Solution: The solution consists of 1 page
Deliverables: Word Document
Deliverables: Word Document
