English Title

On the roots of the infinite equation 0 = 1 – xx/(n(n+1)) + x4/(n(n+1)(n+2)(n+3)) – x6/(n.....(n+5)) + etc.

Authors

Leonhard Euler

Enestrom Number

684

Fuss Index

111

Original Language

Latin

Published as

Journal article

Published Date

1795

Written Date

1777

Content Summary

The titular formula has different roots depending on the parameter n. Sometimes, it behaves like cos(x), others like sin(x)/x, etc.

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 9, pp. 19-40.

Opera Omnia Citation

Series 1, Volume 16A, pp.241-265.

Record Created

2018-09-25

Included in

Mathematics Commons

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