Source: wikibot/occurrences-of-grandi-s-series
= Occurrences of Grandi's series
{wiki=Occurrences_of_Grandi's_series}
Grandi's series is a mathematical series defined as: \\\[ S = 1 - 1 + 1 - 1 + 1 - 1 + \\ldots \\\] The series can be rewritten in summation notation as: \\\[ S = \\sum_\{n=0\}^\{\\infty\} (-1)^n \\\] This series does not converge in the traditional sense, as its partial sums oscillate between 1 and 0.