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Radius of convergance complex power series

  1. Nov 6, 2013 #1
    1. The problem statement, all variables and given/known data

    https://scontent-a.xx.fbcdn.net/hphotos-ash3/1390611_10201748262844961_2141774184_n.jpg

    I need help with 7b. Theorem 3 = termwise differentiation and theorem 4 = termwise integration.


    2. Relevant equations



    3. The attempt at a solution

    I have no idea how differentiation or integration would help me. Can somebody post a short strategy I can use? Please?
     
    Last edited: Nov 6, 2013
  2. jcsd
  3. Nov 6, 2013 #2

    mfb

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    2016 Award

    Staff: Mentor

    Termwise integration gives a term to "cancel" the n in the numerator (not exactly, however). That's not really necessary, but at least it uses integration.
     
  4. Nov 6, 2013 #3
    Hey! I solved it after looking at the problem with a fresh mind. Thx for the comment, tho
     
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