Euler summation works on the series. In practice, one exploits auxiliary quantities, and the computation is much easier; see for example Image:Pm1234-Euler1755...
Euler attacks 1 − 2 + 4 − 8 + · · · in his Institutiones. Excerpt from p.233 of [1] with a small white border added. Copyright has expired.[2] https://creativecommons...
DescriptionPm1234 Euler.svg English: Euler summation of 1 − 2 + 3 − 4 + · · · to 1/2-1/4. The original series 1 − 2 + 3 − 4 + · · · is depicted at the...
DescriptionPm1234 Euler1755 I-V.png English: Euler applies his transform to sum several series related to 1 − 2 + 3 − 4 + · · · Date 1755 Source English:...
Excerpt from p.233 of [1] with a small white border added. Copyright has expired.[2] https://creativecommons.org/publicdomain/mark/1.0/PDMCreative Commons...
