Source: wikibot/1-minus-1-plus-2-minus-6-plus-24-minus-120-plus-⋯
= 1 − 1 + 2 − 6 + 24 − 120 + ⋯
{wiki=1_−_1_+_2_−_6_+_24_−_120_+_⋯}
To evaluate the series \\( S = 1 - 1 + 2 - 6 + 24 - 120 + \\cdots \\), we can identify the terms in the series in a more systematic way. We observe that the series can be expressed in terms of factorials: - The \\( n \\)-th term appears to follow the pattern \\( (-1)^n n! \\).