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Q20Section II (Mathematics)20 of 190

Poles of csc⁡(1/(z−1))\csc(1/(z-1)) accumulate at z=1z=1 itself

Let f(z)=csc⁡(1z−1)f(z)=\csc\bigl(\tfrac1{z-1}\bigr) for z≠1,z∈Cz\neq1, z\in\mathbf C. Then at the point z=1z=1, f has:

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