Is it \limsup or \lim\sup?

Question

Is the concept of limit superior in mathematics written as $\limsup$ or $\lim\sup$ ?

No, and quite deliberately so (we are usually interested in the code). I've marked up your input as such using `. — Joseph Wright, Nov 22, 2011 at 16:06
No LaTeX rendering indeed. The limit superior is usually denotes as \limsup. The \lim and \sup are there because these are also concepts on their own. Using \limsup you are ensured of correct spacing. Furthermore, using limits notation \limsup ensures the lower limit is set centered under the entire word, this would be troublesome with \lim\sup. — Roelof Spijker, Nov 22, 2011 at 16:08

Roelof Spijker · Accepted Answer · 2011-11-22 16:11:18Z

42

I think my comment answers the question quite well, so I will just add it as an answer. The most important part to me is the limit placement. So:

\documentclass{article}
\begin{document}
  $\limsup\limits_{x\rightarrow0}$ vs $\lim\sup\limits_{x\rightarrow0}$ 
\end{document}

Which results in:

limsup vs lim sup

So you will want to use \limsup.

answered Nov 22, 2011 at 16:11

Roelof Spijker

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