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

  • 2
    This site doesn't render latex formula, does it?
    – Tim
    Commented Nov 22, 2011 at 16:01
  • 1
    No, and quite deliberately so (we are usually interested in the code). I've marked up your input as such using `.
    – Joseph Wright
    Commented Nov 22, 2011 at 16:06
  • 6
    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. Commented Nov 22, 2011 at 16:08

1 Answer 1


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:

  $\limsup\limits_{x\rightarrow0}$ vs $\lim\sup\limits_{x\rightarrow0}$ 

Which results in:

limsup vs lim sup

So you will want to use \limsup.

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