límit

límit is the Catalan noun meaning limit, boundary, or end. It is used to denote a dividing line or a point beyond which something does not extend. The word derives from the Latin limes, and its modern form in Catalan developed through historical usage and phonetic evolution. In Catalan orthography the acute accent on í marks the stressed syllable: límit.

In mathematics the term límit denotes the value that a function or sequence approaches under specified conditions. It is a central concept in calculus and analysis. Common usages include the limit of a sequence, written as limn→∞ a_n = L, and the limit of a function, written as limx→a f(x) = L. The concept also appears in phrases such as límit superior (upper limit) and límit inferior (lower limit), which describe bounds on a set of values. Definitions are typically made precise via epsilon-delta criteria for functions or via the convergence of sequences.

Outside mathematics, límit also appears in everyday language to signify a boundary or extent, such as the límit d’un territori (the boundary of a territory) or the límit de capacitat (the capacity limit). The term functions as a general-purpose word for edges, ends, and thresholds across contexts.

See also: Limit (calculus); Boundary; Limes.