No. Refer to Picard theorem - Wikipedia, the free encyclopedia
Hello,
Given that z = w is an essential singulairty of a complex-valued function f(z),
I'm trying to determine that if z --> w, does it follow that f(z) neccecarily goes to infinity? (ie, lim (z-->w) f(z) = infinity)
I am trying to find a counterexample but cannot think of one, but also having trouble proving from the definition of essential singularity (in terms of Laurant series).
Any guidance helps! Thanks!
No. Refer to Picard theorem - Wikipedia, the free encyclopedia