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Imaginary convergence

  1. Oct 19, 2007 #1
    If you have an infinite series some or all of whose coefficients involve imaginary terms how do you check for convergence?
  2. jcsd
  3. Oct 19, 2007 #2
    jsut split series into complex and real parts and test convergence for each part
  4. Oct 19, 2007 #3
    The reals are a subset of the imaginary numbers. Hence just check for convergence in the complex plane.
  5. Oct 19, 2007 #4
    I wouldn't say that, because when you say imaginary number there is usually the implication that you are speaking of a number in the form ri where r is a real number. The reals are, however, a subset of the complex numbers.
  6. Oct 20, 2007 #5
    like davidsmith said, split up the series into real and imaginary parts. Then you effectively have to deal with two real-valued series.
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