Has a Removable Singularity?

In complex analysis, a removable singularity of a holomorphic function is a point at which the function is undefined, but it is possible to redefine the function at that point in such a way that the resulting function is regular in a neighbourhood of that point.

What is meant by removable singularity?

A removable singularity is a singular point of a function for which it is possible to assign a complex number in such a way that becomes analytic. A more precise way of defining a removable singularity is as a singularity of a function about which the function is bounded.

Is isolated singularity removable?

There are three types of isolated singularities: removable singularities, poles and essential singularities.