Infinite Limit Complex Function

rmcclurk

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.

Thanks!

nickjer

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

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

HallsofIvy

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