Absolutely Convergent Complex Series/Examples
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Examples of Absolutely Convergent Complex Series
Example: $\paren {\dfrac z {1 - z} }^n$
The complex series defined as:
- $\ds S = \sum_{n \mathop = 1}^\infty \paren {\dfrac z {1 - z} }^n$
is absolutely convergent, provided $\Re \paren z < \dfrac 1 2$.