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==Example==
The simplest examples of meromorphic functions with an infinite number of poles are the non-entire trigonometric functions, so take the function tan(''z''). tan(''z'') is meromorphic with poles at ''(n + 1/2)π'', ''n'' = 0, ±1, ±2, ... The contours ''Γ<sub>k</sub>'' will be squares with vertices at ''±πk ± πki'' traversed counterclockwise, ''k'' > 1, which are easily seen to satisfy the necessary conditions.
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