精选优质文档-倾情为你奉上Taylors Formula and the Study of Extrema1. Taylors Formula for MappingsTheorem 1. If a mapping from a neighborhood of a point x in a normed space X into a normed space Y has derivatives up to order n -1 inclusive in U and has an n-th order derivative at the point x, then (1)as.Equality (1) is one of the varieties of Taylors formula, written here for rather general classes of mappings.Proof. We prove Taylors formula by induction.For
