Bernardino, Adriano Thiago LopesAraújo, Geovani Nilvan2017-08-172021-09-202017-08-172021-09-202017-06-26ARAUJO, Geovani Nilvan de. FUNÇÃO DE VARIAÇÃO LIMITADA. 2017. 38 f. Monografia (Graduação) - Curso de Matemática, Universidade Federal do Rio Grande do Norte, Caicó/RN, 2017.https://repositorio.ufrn.br/handle/123456789/36689The limitedvariationfunctionsareaspecialclassoffunctionswithfinitevariationinFora continuous functionofasinglevariable,beingoflimitedvariation,thelengthtraveledby f (x) when x is afiniteintervalhasafinitevalue.Throughoutthiswork,wepresentsomeconcepts and resultsrelatedtofunctions,aimingtoestablishtheadequatebasisfordiscussinglimited variationfunctions.Themainpurposeofthisworkistopresentsometypesoflimitedvariation functions. Inthefirstchapterwepresentbasicconceptsoffinite,infiniteandlimitedsetand some propertiesthatwewillusethroughoutthiswork.Inthesecondchapter,weinitiallymadea succinct approachtotopologyontheline,aimingatEstablishabasisfordevelopingsubsequent content. Next,westudysomepropertiesoffunctions.Thethirdchapterisdevotedtostudying the studyoffunctionintegralsusingtheRiemannsumandpresentinginterestingpropertiesabout integrablefunctions.Finally,inthefourthchapter,wepresentthefunctionsoflimitedvariation and we show some examples.openAccessFunção Derivável.Derivative Function.Função Integrável.Integrated Function.Função de Variação Limitada.Limited Variation Function.Função Monótona.Monotonous Function.bachelorThesis