Removable Singularity/Examples/Sine of z over z

Example of Removable Singularity

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 $z = 0$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): singular point (singularity): 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): singular point (singularity): 1.