Maximum module principle to show that is not there a holomorphic function on D

Question

Plase help with this problem, i am sure aplicate de maximun module principle, but i don't know how do it.

Show that there is no holomorphic function on the unit disk such that $|f(z)|\geq \frac{1}{1-|z|}$ for all z in D-unit disk.

thanks so much for your support