Properly Divergent Series/Examples/Natural Numbers
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Example of Properly Divergent Series
The infinite series:
\(\ds s\) | \(=\) | \(\ds \sum_{k \mathop = 1}^\infty k\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 1 + 2 + 3 + 4 + \cdots\) |
is a properly divergent series.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): divergent series
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): divergent series