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 Growth of superexponential Balarka Sen Junior Fellow Posts: 25 Threads: 7 Joined: Feb 2013 02/26/2013, 11:19 AM (This post was last modified: 02/26/2013, 11:27 AM by Balarka Sen.) Hi, it's me again, I made an observation : for very small values of z, it seems likely that as b tends towards infinity, b^^z grows to infinity too, but rather slowly. I mean $\lim_{b \rightarrow \infty} {}^{z} b \rightarrow \infty$ for all $z > 0$. It's quite obvious for z > 1 because tetration grows much faster than exponentiation there. So, it would sufficient to consider z on the interval [0, 1]. Questions : 1) Is it straightforward from the definition of superexponential? If not, 2) Is it true/false? I am interested in a proof for both cases of #2, however. Also, can somebody give me a plot of sexp'(x, 0.1) where x is the base( and the plot variable of course) and 0.1 is the height. sexp' means the derivative of superexponential function. It would be much appreciated. Balarka . « Next Oldest | Next Newest »

 Messages In This Thread Growth of superexponential - by Balarka Sen - 02/26/2013, 11:19 AM RE: Growth of superexponential - by tommy1729 - 02/26/2013, 10:00 PM RE: Growth of superexponential - by Balarka Sen - 02/27/2013, 02:19 PM RE: Growth of superexponential - by sheldonison - 02/27/2013, 06:40 PM RE: Growth of superexponential - by Balarka Sen - 02/27/2013, 07:24 PM RE: Growth of superexponential - by tommy1729 - 03/01/2013, 12:11 AM RE: Growth of superexponential - by tommy1729 - 03/06/2013, 11:51 PM RE: Growth of superexponential - by tommy1729 - 03/06/2013, 11:55 PM

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