Theorems on convergence of power series.
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 convergence of a series, the radius of convergence are defined and explained here. whether a given series is differentiable or not, the term by term differentiation is possible or not are analysed in this lecture note. Uniform convergence of a series is also discussed.
Prof. James Raymond Munkres, Maths, 18.014 Calculus with Theory, Fall 2010:17. The basic theorems on power series, 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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