Mark
Suppose we iterate f(z)=2z^2+1 from some z_0\in\mathbb C and find that, for some n, |z_n|>1. Show that the sequence of iterates diverges to \infty.
Suppose we iterate f(z)=2z^2+1 from some z_0\in\mathbb C and find that, for some n, |z_n|>1. Show that the sequence of iterates diverges to \infty.