EDB — 0C3

Exercises

1. [0C3]Fixed $k>0$, $\epsilon >0$ and a rational number $x$, prove that there exist only finitely many rationals $𝛼$ that can be represented as $𝛼=m/n$ in order to satisfy the relation

   $$|x-\frac{m}{n}|\le \frac{k}{n^{1+\epsilon }}.$$
   Solution 1

   [0C4]↺↻