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Every real number - IMO LongList 1992 TUR3

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September 2, 2010
logarithmspigeonhole principlealgebracalculuslimitIMO ShortlistIMO Longlist

Problem Statement

Let S={πn1992m∣m,n∈Z}.S = \{\frac{\pi^n}{1992^m} | m,n \in \mathbb Z \}. Show that every real number x≥0x \geq 0 is an accumulation point of S.S.
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