# Math Help - Limit at an Essential Singularity

1. ## Limit at an Essential Singularity

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!

3. ## Re: Limit at an Essential Singularity

Originally Posted by xxp9
This is clearly an example of time travel since Jean Luc Picard will not actually prove the theorem until the 23rd century!