I need some help with this question.
Let $f(z)$ an entire function, with infinite number of zeros. I want to prove that $\lim\sup_{r \to \infty} \frac{M_{f}(r)}{r^n} = \infty$
The definition of $M_{f}(r)$ is $\sup_{|z|=r}|f(z)|$, $r\in(0,R)$ when $f$ analytic in ${|z|
Assume that $f(z) \not\equiv 0$.
Thanks.