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Infinite Limit Complex Function

  1. Jul 1, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the limit of a complex number involving infinity.

    2. Relevant equations
    Lim z->infiity of (8z^3+5z+2)

    3. The attempt at a solution
    I tried to split the problem into real and imaginary parts using z = x+iy, but I don't know how to deal with the z->infinity.

  2. jcsd
  3. Jul 1, 2009 #2
    I could be misreading the problem, but the real part and imaginary part of that equation will go to infinity as well no matter which you take.
  4. Jul 1, 2009 #3


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    z->infinity means |z|->infinity. What can you say about lim |8z^3+5z+2|?
  5. Jul 2, 2009 #4


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    Thanks, Dick. I was about to ask exactly what "z-> infinity" meant! In the complex plane there can be an infinite number of "infinities"!
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