mathematical limit

[ˌmæθəˈmætɪkəl ˈlɪmɪt]
nounpl: mathematical limits
limite matemático
1. A value that a function or sequence approaches as the input or index approaches some value
The mathematical limit of 1/x as x approaches infinity is zero.
O limite matemático de 1/x quando x se aproxima do infinito é zero.
2. In calculus, the value that a continuous function approaches at a specific point
We calculated the mathematical limit of the function at x equals 2.
Calculamos o limite matemático da função quando x é igual a 2.
3. The fundamental concept in calculus describing the behavior of functions near a point or at infinity
Understanding mathematical limits is essential for studying derivatives and integrals.
Compreender limites matemáticos é essencial para estudar derivadas e integrais.
This is a fundamental concept in mathematics education across both Brazil and the United States, typically introduced in calculus courses at the high school or undergraduate level. The term is standardized across academic contexts in both Portuguese-speaking and English-speaking countries, with no regional variations in meaning.
Synonyms / Sinônimos
limitconvergence pointboundary valuelimiting value
Antonyms / Antônimos
divergenceinfinity

Regional Variations

General Brazilian
limite matemático
Most common usage in Brazilian mathematics education
São Paulo
limite matemático
Standard academic terminology used in universities
Rio de Janeiro
limite matemático
Standard usage, sometimes shortened to 'limite' in context
Portugal
limite matemático
Identical to Brazilian usage; fundamental calculus concept

Related Words

calculusfunctionsequenceconvergencederivativeintegralasymptote

Related Idioms & Phrases

reach the limit
approach the limit
as x approaches the limit
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