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Difference between revisions of "User:Ihatemath123"
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==Nice problem==
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{{AMC10 Problems|year=2021|ab=A}}
 
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A number <math>\epsilon</math> is said to be <i>special</i> if
 
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<cmath>\lim_{q \to\infty} \frac{\cos \left( \sum_{k=0}^{\epsilon} \sqrt{ \frac{\epsilon ^ {k \epsilon + q}}{\epsilon \cdot \pi \cdot x} } \right)}{(2x+4) \lfloor qx \rfloor}</cmath>
 
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is true for all <math>x</math>.
 
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Find all <i>special</i> numbers.
 

Revision as of 00:19, 3 May 2023

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