2025-03-062025-03-062025-02-19SOUZA, Gleidson Guimarães de. Séries de Taylor aplicadas à função exponencial. Orientador: Luiz Gutemberg Rosário Miranda. 2025. 44 f. Trabalho de Curso (Licenciatura em Matemática) – Faculdade de Matemática, Campus Universitário de Salinópolis, Universidade Federal do Pará, Salinópolis, 2025. Disponível em: https://bdm.ufpa.br/jspui/handle/prefix/7765. Acesso em:.https://bdm.ufpa.br/jspui/handle/prefix/7765In this work, we carry out a study on power series, highlighting that these are series of special functions that behave like “infinite polynomials” (or finite sums) since the derivative and integral of a power series are still a power series, and in addition we can derive and integrate these series term by term. Furthermore, such series represent the so-called analytical functions, which are of fundamental importance, since the elementary functions of Differential Calculus, for example, are analytical functions.Acesso AbertoSérie de potênciasPolinômio de TaylorSérie de TaylorPower seriesTaylor polynomialTaylor seriesCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICATrabalho de Curso - Graduação - Monografia