Removable Singularity/Examples/Sine of z over z
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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.