\documentclass{article}
\begin{document}
\hsize 200pt
%A wonderful serenity has taken possession of my entire soul, like these sweet
%mornings of spring which I enjoy with my whole heart.
\[ e=mc^2 \]
\end{document}
gives me an overfull hbox:
Overfull \hbox (22.0021pt too wide) in paragraph at lines 9--9
[][]
using $$...$$ instead of \[...\] works fine.
Using a soon-to-be-released tool for visual debugging shows me a strange box sticking out to the right:
