Laurent Expansion of Isolated Essential Singularity/Examples/Exponential of Reciprocal

Examples of Use of Laurent Expansion of Isolated Essential Singularity
Let $f$ be the complex function defined as:
 * $\forall z \in \C \setminus \set 0: \map f z = \map \exp {\dfrac 1 z}$

Then $f$ has an essential singularity at $z = 0$.

The Laurent expansion of $f$ is given by:


 * $\map f z = 1 + \dfrac 1 z + \dfrac 1 {2! z^2} +