Nth order Taylor's approximation of a function at a point.
MIT OpenCourseWare http://ocw.mit.edu 18.014 Calculus with Theory Fall 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
Description
The Taylor's formula of approximation of nth order of a function at a given point a, is stated and explained. From this formula the the remainder term or the error term is also defined and analysed. The Lagrange form of the remainder is also discussed here. The application of the Taylor's formula in the indeterminate form is explained.
Prof. James Raymond Munkres, Maths, 18.014 Calculus with Theory, Fall 2010:14. Taylor's formula, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed August 5,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc
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