Home/Calculus II/Taylor series/Formula15.3. Taylor seriesFormulaIn 15.3. Taylor seriesFormulaCopy LaTeXPN(x)=∑n=0Nf(n)(a)n!(x−a)n.P_N(x)=\sum_{n=0}^{N} \frac{f^{(n)}(a)}{n!}(x-a)^n.PN(x)=n=0∑Nn!f(n)(a)(x−a)n.Tagsmaclaurinseriesseries powers Taylor series of TaylorTaylorVariablesxxxVariable independiente (variable de integración)aaaConstante real (a menudo a>0a>0a>0)nnnExponente o índice enterofffFunción integrandoFound an error? Contact us.Related formulasRelatedIf the function admits the expansion:f(x)=∑n=0∞f(n)(a)n!(x−a)n.f(x)=\sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!}(x-a)^n.f(x)=n=0∑∞n!f(n)(a)(x−a)n.Open formulaOpen in section