Suppose that $\displaystyle f $ is an entire functionand that there are positive constants $\displaystyle A $ and $\displaystyle m $ with $\displaystyle |f(z)| \leq A|z|^{m} $ if $\displaystyle |z| \geq R_{0} $. Show that $\displaystyle f $ is a polynomial of degree $\displaystyle m $ or less.