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Homework Help: Complex z limit

  1. Feb 3, 2009 #1
    1. The problem statement, all variables and given/known data

    For what values does the limit exist?
    [tex]Lim_{n\rightarrow}\infty[/tex]([tex]\frac{z}{z conjugate}[/tex])^n

    2. Relevant equations



    3. The attempt at a solution
    [(x+iy)/(x-iy)]^n
    I just don't know how to tell when it exists. For even values of n because then there would be no sign changes?
     
    Last edited: Feb 3, 2009
  2. jcsd
  3. Feb 4, 2009 #2

    Office_Shredder

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    It should be obvious that the existence or non-existence of the limit depends on z (alternatively, x and y) not on n, since n is the argument for the limit (aside: is there a name for that?)
     
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