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IMO Shortlist 1967 problem 3

1967 shortlist
Find all x for which, for all n, \sum^n_{k=1} \sin {k x} \leq \frac{\sqrt{3}}{2}.

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1300IMO Shortlist 1967 problem 1
1967 shortlist
0
1298IMO Shortlist 1967 problem 5
1967 shortlist
0
1297IMO Shortlist 1967 problem 4
1967 shortlist
0
1295IMO Shortlist 1967 problem 2
1967 shortlist
0
1293IMO Shortlist 1967 problem 6
1967 shortlist
0
1283IMO Shortlist 1967 problem 2
1967 shortlist
0