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## Main Question or Discussion Point

I understand perfectly well how to do Taylor series, but I am foggy on these Laurent series. Say, we have something like,

[tex]f\left( z \right)\; =\; \frac{1}{z^{2}\cdot \sin \left( z \right)}[/tex]

I think I need to use the taylor series expressions for sin(z) but otherwise, I am not sure what to do about that z^2. If I use that in a taylor series with z=0, then I get a singularity.

Since its 1/sin(z), do I just inverse the taylor series for sin(z) Yes, you can see I am very unknowledgeable about this. I turn here because the explanations I found in my book are totally lacking.

[tex]f\left( z \right)\; =\; \frac{1}{z^{2}\cdot \sin \left( z \right)}[/tex]

I think I need to use the taylor series expressions for sin(z) but otherwise, I am not sure what to do about that z^2. If I use that in a taylor series with z=0, then I get a singularity.

Since its 1/sin(z), do I just inverse the taylor series for sin(z) Yes, you can see I am very unknowledgeable about this. I turn here because the explanations I found in my book are totally lacking.