Removable Singularity/Examples

Examples of Removable Singularities

Example: $\dfrac {\sin z} z$

Let $f: \C \setminus \set 0 \to \C$ be the complex function defined as:

$\map f z = \dfrac {\sin z} z$

Then $f$ has a removable singularity at the point $z = 0$.