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Finding the range of validity of a taylor series

  1. Mar 18, 2012 #1
    1. The problem statement, all variables and given/known data
    I have to give the range of validity for a Taylor series built from an expression of the form:

    (1+(a/b)x)^c



    2. Relevant equations



    3. The attempt at a solution

    Obviously the validity does not extend to x=-(b/a) on the negative side, but should I then state that it is valid for:

    -(b/a) < x < (b/a)

    The reason being that all Standard Taylor series I've seen seem to have a symmetric interval. But I can't see why this approximation shouldn't be valid for all real numbers with the exception of -(b/a).

    Any help greatly appreciated.
     
  2. jcsd
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