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![Wolfram Library Archive](/images/database/subheader.gif)
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![](/common/images/spacer.gif) Tangent Sequences, World Records, Pi, and the Meaning of Life: Some Applications of Number Theory to Calculus
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![](/common/images/spacer.gif) Rosenholtz proves some interesting facts about sequences of the form (tan n)/n^k for fixed k, drawing on number theory and the continued-fraction expansions of irrational numbers like pi.
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