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May 25, 2022 at 12:33 comment added Валерий Заподовников That is not enough, it can still be a pole. See: en.wikipedia.org/wiki/Essential_singularity You need to check 1/f too. Limit[1/((x^3 Exp[1/x])/(1 - x^2)), x -> 0] (it is also Indeterminate, so indeed essential singularity).
May 14, 2020 at 13:27 vote accept Хранитель Рощи
Nov 1, 2019 at 12:11 comment added Хранитель Рощи I will think about a type of this point, maybe you are right and it is an essential singularity, I am not sure :)
Nov 1, 2019 at 12:09 comment added Хранитель Рощи Thank you, it is a good idea to use the definition of residue by "limit".
Nov 1, 2019 at 11:32 history answered Hugh CC BY-SA 4.0