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Convergence radius of a perturbation series

  1. Mar 29, 2012 #1
    i see people discussing the convergence radius of a perturbation series in the literature

    i am really baffled

    generally, one can only get the first few coefficients of a perturbation series

    that is, the perturbation series is not known at all

    how can one determine the convergence radius of the series at all?

    what is the point of determine the radius if only a few first coefficients are available?
  2. jcsd
  3. Mar 30, 2012 #2


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    In general perturbation expansions aren't convergent, there will be a term which after that that series starts growing.
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