Home/Calculus II/Taylor remainder/Formula15.4. Taylor remainderFormulaIn 15.4. Taylor remainderFormulaCopy LaTeX∣RN(x)∣≤M∣x−a∣N+1(N+1)!.|R_N(x)|\le\frac{M|x-a|^{N+1}}{(N+1)!}.∣RN(x)∣≤(N+1)!M∣x−a∣N+1.Tagsmaclaurinseriesseries powers Taylor remainder of TaylorTaylorVariablesxxxVariable independiente (variable de integración)aaaConstante real (a menudo a>0a>0a>0)Found an error? Contact us.Related formulasRelatedLagrange form:RN(x)=f(N+1)(ξ)(N+1)!(x−a)N+1R_N(x)=\frac{f^{(N+1)}(\xi)}{(N+1)!}(x-a)^{N+1}RN(x)=(N+1)!f(N+1)(ξ)(x−a)N+1Open formulaOpen in section