# Simple Poles

## Main Question or Discussion Point

Hi guys,

Is it right to say that a simple pole (pole of order 1) is a removable singularity (and vice versa)?

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lavinia
Gold Member
Hi guys,

Is it right to say that a simple pole (pole of order 1) is a removable singularity (and vice versa)?
No. A pole of order 1 is not removable. Think about the integral of 1/z on the unit circle.

I realized it as soon as I posted this thread and forgot to delete it.

Anyway, thank you!