Max sine sequence Let an = max {sin 1, sin 2,…, sin n},

Chapter 1, Problem 60RE

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Max sine sequence Let \(a_{n}=\max \{\sin 1, \sin 2, \ldots, \sin n\}\), for n = 1, 2, 3, ..., where max {...} denotes the maximum element of the set. Does \(\left\{a_{n}\right\}\) converge? If so, make a conjecture about the limit.

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