L'Huilier introduced the abbreviation "lim" for limit, using the first three letters of the
Latin , with a
full stop) to denote the
limit of a variable
expression. This reappeared in 1821 in
Cours d'Analyse by
Augustin Louis Cauchy, who would later create his approach based on
infinitesimals defined in terms of variable quantities. L'Huilier first employed this symbol on page 24 of the essay and explained its convenience for indicating the limiting value of simultaneous changes in variables on page 31. This represents the earliest recorded use of a limit notation in European analysis and laid the groundwork for the modern "lim" symbol. ==Royal Society fellow==