\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2011a.00775}
\itemau{Leher, Eli; Bary-Soroker, Lior}
\itemti{On the remainder in Taylor's theorem.}
\itemso{Coll. Math. J. 40, No. 5, 373-374 (2009).}
\itemab
Summary: The Taylor polynomial is used to approximate a real function in the neighborhood of a point. Here we give a short straightforward proof for the bound of the remainder term of this approximation. The proof uses only induction and the fact that non-negativity of the derivative implies monotonicity of the function, thus it is suitable for presentation to undergraduates. (orig.)
\itemrv{~}
\itemcc{I35 I45}
\itemut{Taylor theorem; induction; Lagrange remainder formula}
\itemli{doi:10.4169/074683409X475706}
\end