English Title

On unravelling exponential formulas

Authors

Leonhard Euler

Enestrom Number

489

Fuss Index

190

Original Language

Latin

Published as

Journal article

Published Date

1778

Written Date

1777

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.

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

Included in

Mathematics Commons

Share

COinS