Complex polynimial tends to infinity I need to prove that a non constant complex tends to infinity when the argument tends to infinity. I'd be happy for a hint.
thanks

$\def\abs#1{\left|#1\right|}$*Hint*: You have by the triangle inequality 
$$ \abs{\sum_{k=0}^n a_k z^k} \ge \abs{a_n}\abs{z}^n - \sum_{k=0}^{n-1}\abs{a_k}\abs z^k $$
