No. Refer to Picard theorem - Wikipedia, the free encyclopedia
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!