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 Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 Ultimate Fellow Posts: 1,605 Threads: 363 Joined: Feb 2009 07/31/2013, 12:39 AM (This post was last modified: 07/31/2013, 12:42 AM by tommy1729.) Remark on Gottfried's "problem with an infinite product". http://math.eretrandre.org/tetrationforu...hp?tid=785 *** A similar case occurs with power towers. g(x) = x ^ f(x) ^ f^[2](x) ^ ... An intresting case is ln(x) ^ ln(ln(x)) ^ ln^[3](x) ^ ... = A(x). Let x >> 10. Define f(x) = arcsinh(x/2) ( YES I USE THIS AGAIN , THE INVERSE OF 2SINH !!! ) Now there exists (small) constants C1,C2,C3,C4 such that f(x) ^ f^[2](x) ^ f^[3](x) ^ ... ~ C1 (x + C2)^C3 + C4 Nice. Return of the master tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Remark on Gottfried's "problem with an infinite product" power tower variation - by tommy1729 - 07/31/2013, 12:39 AM RE: Remark on Gottfried's "problem with an infinite product" power tower variation - by tommy1729 - 05/02/2014, 11:40 PM RE: Remark on Gottfried's "problem with an infinite product" power tower variation - by tommy1729 - 05/03/2014, 08:30 PM RE: Remark on Gottfried's "problem with an infinite product" power tower variation - by tommy1729 - 05/05/2014, 10:48 PM RE: Remark on Gottfried's "problem with an infinite product" power tower variation - by tommy1729 - 05/06/2014, 09:47 PM

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