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 Simple Question about e^(1/e) tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 05/26/2010, 06:04 PM (05/26/2010, 04:55 PM)bo198214 Wrote: By some incidence I just found the article: Barrow, D. F. (1936). Infinite exponentials. Amer. math. Monthly, 43, 150–160. He states there in Theorem 7: The infinite exponential $E_{i=0}^\infty (e^{1/e}+\epsilon_i)$, where $\epsilon_i$ are all positive or 0, (a) will converge if $\lim_{n\to\infty} \epsilon_n n^2 < \frac{e^{1/e}}{2e}$ (b) will diverge if $\lim_{n\to\infty} \epsilon_n n^2 > \frac{e^{1/e}}{2e}$. and i assume it diverges if > or < is replaced by =. since we dont have an upper bound. « Next Oldest | Next Newest »

 Messages In This Thread Simple Question about e^(1/e) - by rsgerard - 04/20/2010, 10:07 PM RE: Simple Question about e^(1/e) - by tommy1729 - 04/22/2010, 02:09 PM RE: Simple Question about e^(1/e) - by andydude - 04/28/2010, 08:35 PM RE: Simple Question about e^(1/e) - by bo198214 - 05/26/2010, 04:55 PM RE: Simple Question about e^(1/e) - by rsgerard - 05/26/2010, 05:21 PM RE: Simple Question about e^(1/e) - by tommy1729 - 05/26/2010, 06:04 PM

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