There are specific tools that make searching this database easier:

la sutysisku dictionary, an offline enabled web app

la vlasisku search engine for the Lojban dictionary

        Word: trajmaumce [jbovlaste]
        Type: fu'ivla
  Gloss Word: asymptote in the sense of "of a set"
  Gloss Word: best possible bound in the sense of "of a set"
  Gloss Word: extremal bound in the sense of "possibly-unattained extremum"
  Gloss Word: infimum
  Gloss Word: supremum
  Definition: x1 (li) is an extremal bound
       (supremum/infimum/possibly-unattained extremum (loose sense in
       English)/asymptote (one sense)/best possible bound (one sense))
       on set x2 (set) in direction x3 (li) in ordered structure x4;
       x1 bounds x2 tightly/maximally-strongly from the x3 side in x4;
       x2 is bounded from the x3 side by x1 and any other bound on
       that side is worse than is x1.
       Notes: x1 need not be finite.  Many of the notes to zmaumce apply to
       this word, with minor appropriate edits.  praperi modifying
       this word means that x2 does not contain x1. If x1 does indeed
       belong to x2, then x1 is an attained extremum (maximum,
       minimum, vel sim.) of x2.  The possible values of x1, and its
       existence at all, depends delicately on x4. This word allows
       for easy vagueness about which extremal bound is to be used. 
       See also: mecraizmana'u (partial near-synonym),
       zmaraimecna'u (partial near-synonym).