Find the Residue and Type of Singularity for sin(1\z)

This video shows how to find the Residue of the function f(z) = sin(1/z)
where z=a+bi and i=sqrt(-1) at the Singularity
First part is to find the Laurent series at 0 and then find the z^-1 coefficient .
this gives us res(f,0)
Here we use the Taylor series for sin(z) , then find the Laurent series for sin(1/z)
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