Infinite Limit Complex Function

by rmcclurk
Tags: complex, function, infinite, limit
rmcclurk is offline
Jul1-09, 05:13 PM
P: 4
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.

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nickjer is offline
Jul1-09, 08:04 PM
P: 676
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.
Dick is online now
Jul1-09, 08:37 PM
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z->infinity means |z|->infinity. What can you say about lim |8z^3+5z+2|?

HallsofIvy is online now
Jul2-09, 05:37 AM
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Infinite Limit Complex Function

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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