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Convergence of Taylor series in several variables

  1. Aug 23, 2010 #1
    where do a multiple Taylor series converge ??

    i mean if given a function [tex] f(x,y) [/tex] can i expand this f into a double Taylor series that will converge on a rectangle ? for example , if one can ensure that it converges for |x| <1 and |y| <1
  2. jcsd
  3. Aug 23, 2010 #2


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    Science Advisor

    It depends very much on what f is.
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