Grandi's series
id:
grandi-s-series-174-2809202
title:
Grandi's series
text:
In mathematics, the infinite series 1 − 1 + 1 − 1 + ⋯, also written
- ∑ n = 0 ∞ n is sometimes called Grandi's series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703. It is a divergent series, meaning that the sequence of partial sums of the series does not converge. However, though it is divergent, it can be manipulated to yield a number of mathematically interesting results. For example, many summation methods are used
brand slug:
wiki
category slug:
encyclopedia
description:
Infinite series summing alternating 1 and -1 terms
original url:
https://en.wikipedia.org/wiki/Grandi%27s_series
date created:
2006-11-08T00:40:27Z
date modified:
2024-09-02T16:49:49Z
main entity:
{"identifier":"Q967588","url":"https://www.wikidata.org/entity/Q967588"}
image:
fields total:
13
integrity:
15