Is it known whether, for all $c > 0$, there always exist integers $p$ and $q$ such that $\left \pi  \frac{p}{q}\right < \frac{c}{q^2}$?
This seems like a fundamental question but I couldn't find a reference...
Is it known whether, for all $c > 0$, there always exist integers $p$ and $q$ such that $\left \pi  \frac{p}{q}\right < \frac{c}{q^2}$? This seems like a fundamental question but I couldn't find a reference... 

