English Title
On the summation of series, in which the signs of the terms alternate
Enestrom Number
617
Fuss Index
180
Original Language
Latin
Content Summary
This work, along with E55 and E352, examines the formal series f(a) – f(a+h) + f(a+2h) – f(a+3h) + f(a+4h) – .... Here, uses a power series, f(0) + f(1)x + f(2)x2 + f(3)x3 + ..., which is obviously what he’s looking for in the case a=0, h=1, and x=-1. He does Taylor series expansions at every value 0, 1, 2,..., sums them all, and combines terms; he gets an answer that reminds Faber of E352.
Published as
Journal article
Published Date
1788
Written Date
1776
Original Source Citation
Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 2, pp. 46-69.
Opera Omnia Citation
Series 1, Volume 16A, pp.47-78.
Record Created
2018-09-25
E617de.pdf (192 kB)
