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Complex Limits

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

    I need to find if sequences have limits
    1. 1,i,-1,-i,1,i,-i,1....
    2. 1,i/2,-1/3,-i/4,1/5.....
    3. (1+i)/2,....,[(1+i)/2]^n
    4.3+4i/5,....[(3+4i)/5]^n

    2. Relevant equations



    3. The attempt at a solution
    I say 1 and 2 don't have limits because of the sign changes.
    I say 3 and 4 have limits, but am not sure on how to find them.
    3.1/2+1/2i
    4.?
     
  2. jcsd
  3. Feb 4, 2009 #2

    Office_Shredder

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    What tests do you have to determine if a sequence converges or not? e.g. see if it's Cauchy. Write down some, and see if they apply
     
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