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