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Math Help - Limit at an Essential Singularity

  1. #1
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    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!
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  2. #2
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    Re: Limit at an Essential Singularity

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  3. #3
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    Re: Limit at an Essential Singularity

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