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Radius of Convergence

  1. Dec 10, 2016 #1
    1. The problem statement, all variables and given/known data
    problem 9.PNG

    2. Relevant equations
    Ratio test.

    3. The attempt at a solution
    work 9.PNG

    I guess I'm now uncertain how to check my interval of convergence (whether the interval contains -2 and 2)...I've been having troubles with this in all of the problems given to me. Do I substitute -2 back into the original equation and see if it is convergent or divergent?
     
  2. jcsd
  3. Dec 10, 2016 #2

    PeroK

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    Yes, you have to check ##x= \pm2## explicitly.
     
  4. Dec 10, 2016 #3

    vela

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    Either your work's wrong or there's a typo in the problem statement. Look at the exponent of ##x##.
     
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