Help me decide when to graduate
So my situation is a little odd and I'm having trouble on deciding when to graduate from college. I'm going into my senior year at a mid level public university with an okay gpa (cumulative 3.5, math 3.6) interested in going to grad school for applied math...
e^(2pi*i) = cos(2pi) + isin(2pi) = 1.
e^z on the complex plane can never equal zero.
http://en.wikipedia.org/wiki/Exponential_function#Similar_properties_of_e_and_the_function_ez
Homework Statement
Prove that the analytic function e^z is not a polynomial (of finite degree) in the complex variable z.
The Attempt at a Solution
The gist of what I have so far is suppose it was a finite polynomial then by the fundamental theorem of algebra it must have at least...