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## Main Question or Discussion Point

I'm trying to solve the following equation for [tex]z\in \mathbb C \setminus \{ 0 \}[/tex], [tex]w\in \mathbb C[/tex]:

[tex]

e^{1/z} + \frac{1}{1-e^{1/z}} = w.

[/tex]

How in the world should I go about doing that?

[tex]

e^{1/z} + \frac{1}{1-e^{1/z}} = w.

[/tex]

How in the world should I go about doing that?