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2009 Unirea
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Find the limit
Evaluate the limit:
lim
n
→
∞
n
⋅
sin
1
⋅
sin
2
⋅
⋯
⋅
sin
n
.
\lim_{n \to \infty}{n \cdot \sin{1} \cdot \sin{2} \cdot \dots \cdot \sin{n}}.
n
→
∞
lim
n
⋅
sin
1
⋅
sin
2
⋅
⋯
⋅
sin
n
.
Proposed to "Unirea" Intercounty contest, grade 11, Romania