# Simple Poles

Hi guys,

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

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!