Let $\{ a_{n} \}_{1}^{\infty}$ be a positive sequence with limit A ($n \rightarrow \infty$). Then \begin{equation} A = \lim_{n \rightarrow \infty} \left\{ \sqrt[n]{a_{1}a_{2}a_{3} \cdots a_{n}} \right\}. \end{equation} Any help (with a reference or web page link) would be much appreciated ! I don't need a derivation, but simply want to know if the result is named after anyone.
Asked
Active
Viewed 46 times
0
-
2https://math.stackexchange.com/q/770959/42969 – Martin R Nov 02 '22 at 14:50
-
Anyway, a "do it for me" question, showing no effort, is generally considered as low-quality, and closed without an answer. – Anne Bauval Nov 02 '22 at 14:56
-
I've actually spent quite a bit of time on the web looking for this result. I wouldn't have posted the question otherwise. Why so prickly ? I simply want to know if the results is a named one (maybe after Cauchy ?). – Pierre LeProf Nov 02 '22 at 14:59
-
To help with your searches, you could try using approach0. – mr_e_man Nov 02 '22 at 15:20
-
Thanks for the suggestion. – Pierre LeProf Nov 02 '22 at 16:11