[Steps Shown] Evaluate n→ ∞ lim 1/n(sin (π)/(n)+ sin (2pi)/(n)+....+ sin (nπ)/(n)) by interpreting it as the limit of Riemann sums for a


Question: Evaluate

\[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{n}\left( \sin \frac{\pi }{n}+\sin \frac{2\pi }{n}+....+\sin \frac{n\pi }{n} \right)\]

by interpreting it as the limit of Riemann sums for a continuous function f defined on [0, 1].

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