Tricky Maximum Modulus Application

We take a look at a qualifying exam-level problem which has a tricky application of the maximum modulus principle.
Made by Ethan Zell
With thanks to Ben Hayes
I'm making these videos to make studying for my qualifying exams more enjoyable. Please let me know how I can improve and what problems you might like to see. :)

[@mohammadabdulla8601]

I really wish there were more of these videos. Great work.

[@seungaaaaaaaaa]

Thank you Ethan!!