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Simple power series problem

  1. Apr 8, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the radius and interval of convergence of the given power series.

    [tex]\sum[/tex][tex]^{\infty}_{n=0}[/tex][tex]\stackrel{100^{n}(x+7)^{n}}{n!}[/tex]



    2. Relevant equations
    Ratio Test



    3. The attempt at a solution
    My real question is: Can the radius be 0? Cuz that's what I get. Would the radius just be x?
     
  2. jcsd
  3. Apr 9, 2009 #2

    Dick

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    Science Advisor
    Homework Helper

    The radius of convergence of a power series could be zero. But I don't think that one is. If you got 0 for the limiting ratio, that would actually imply an infinite radius of convergence.
     
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