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Belgium Contests
Flanders Math Olympiad
2002 Flanders Math Olympiad
3
Numbers (Flanders '02)
Numbers (Flanders '02)
Source:
August 8, 2004
calculus
integration
search
number theory
number theory solved
Problem Statement
show that
1
15
<
1
2
⋅
3
4
⋯
99
100
<
1
10
\frac1{15} < \frac12\cdot\frac34\cdots\frac{99}{100} < \frac1{10}
15
1
<
2
1
⋅
4
3
⋯
100
99
<
10
1
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