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Is it possible for radius of convergence to be negative?

  1. Dec 1, 2006 #1
    is it possible for "R" (radius of convergence) to be negative?

    is it possible for "R" (radius of convergence) to be negative?

    for example: -|x|<1 and R=-1?
     
    Last edited: Dec 1, 2006
  2. jcsd
  3. Dec 1, 2006 #2

    Hurkyl

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    What does the definition say?
     
  4. Dec 1, 2006 #3

    Office_Shredder

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    If -|x|< 1,then x can be any number. So it's not a very useful thing to say
     
  5. Dec 1, 2006 #4

    HallsofIvy

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    As Hurkyl said, take any Calculus book and look up the definition of "radius of convergence"!
     
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