Subjects/Calculus II/Taylor series/If the function admits the expansion:15.3. Taylor seriesIf the function admits the expansion:In 15.3. Taylor seriesFormulaCopy LaTeXf(x)=n=0∑∞n!f(n)(a)(x−a)n.VariablesxVariable independiente (variable de integración)aConstant real (a menudo a>0)nExponente o índice enterofFunción integrandoRelated formulasRelatedFormulaPN(x)=n=0∑Nn!f(n)(a)(x−a)n.Open formulaOpen in section