(See) Evaluate n→ ∞ lim (sin fracπ)/(n)+.....+ sin (nπ)/(n)n by interpreting it as the limit of Riemann sums for a continuous function
Question: Evaluate
\(\underset{n\to \infty }{\mathop{\lim }}\,\frac{\sin \frac{\pi }{n}+.....+\sin \frac{n\pi }{n}}{n}\)
by interpreting it as the limit of Riemann sums for a continuous function f defined on (0, 1)
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