EDB — 1M1

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Exercises

  1. [1M1] Prerequisites:[1KZ].Difficulty:**.

    Defining \(f(x)=∑_{n=0}^∞ a_ n x^ n\) where the coefficients \(a_ n\) were derived in the previous exercise [1KZ], Try to show that the radius of convergence \(f\) is positive. 1

  1. The proof can be found in Proposition 9.1 on pg 26 in Henri Cartan’s book [ 7 ] .
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  • Cartan
  • power series
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