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May 28, 2012 at 13:01 comment added Gerald Edgar Similar: complex function $e^{-1/z}$ ... it is regular at all points but zero, while at zero it has an essential singularity! Even simpler: the function $1/z$ ... it is regular at all points but zero, while it has a pole at zero!
Apr 28, 2011 at 21:53 history made wiki Post Made Community Wiki by Kim Morrison
Apr 28, 2011 at 20:28 history answered user11235 CC BY-SA 3.0