Art of Problem Solving

User:Ihatemath123: Difference between revisions

Ihatemath123 (talk | contribs)
No edit summary
Txu (talk | contribs)
mNo edit summary
 
(11 intermediate revisions by 3 users not shown)
Line 1: Line 1:
==Nice problem==
a
{{AMC10 Problems|year=2021|ab=A}}
eek
A number <math>\epsilon</math> is said to be <i>special</i> if
<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>
is true for all <math>x</math>.
Find all <i>special</i> numbers.

Latest revision as of 11:21, 18 July 2023

a eek