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* The function
*::<math> f(z) = \csc\frac1z = \frac1{\sin\left(\frac{1}{z}\right)} </math>
*:is not meromorphic in the whole plane, since the point <math>z = 0</math> is an [[Limit point|accumulation point]] of poles and is thus not an isolated singularity.
* The function *::<math> f(z) = \sin\frac1z </math>
*:is not meromorphic either, as it has an essential singularity at 0.
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