English Title
On unravelling exponential formulas
Enestrom Number
489
Fuss Index
190
Original Language
Latin
Archive Notes
According to St. Petersburg Academy records, it was presented to that Academy on June 12, 1777.
Content Summary
The problem Euler addresses in this paper was posed by Condorcet. Euler takes r positive and α real, then asks for what values the sequence r, r α, r r α, r r r α, ... converges. The critical value seems to be at r = e1/e ≈ 1.44467.
Published as
Journal article
Published Date
1778
Written Date
1777
Original Source Citation
Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1777: I, pp. 38-60.
Opera Omnia Citation
Series 1, Volume 15, pp.268-297.
Record Created
2018-09-25