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Math Help - a limit

  1. #1
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    a limit

    hi...this is the problem:
    lim (ri)^n , when n -> infinite, i*i=-1 and r>0

    thank you
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  2. #2
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    Quote Originally Posted by inzaghina View Post
    hi...this is the problem:
    lim (ri)^n , when n -> infinite, i*i=-1 and r>0

    thank you
    Isn't it obvious that r^n itself goes to infinity so there is no limit?

    In fact, even if r= 1, this sequence is i, -1, -i, 1, i, -1, -i, 1, ... and so does not converge.

    If 0\le r< 1 then it converges to 0.
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  3. #3
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    thank u so much for your answer.
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