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 Growth of superexponential tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 03/06/2013, 11:51 PM picture this. consider a C^2 function f(x) with 1) f(0) = 1 and f ' (0) > 1. 2) for x > 0 : f ' (x) > 0 and f '' (x) > 0. 3) f(1) = b and b > 2. As b gets larger , what can you say about f(1,001) ? Do you think f(1,001) is bounded as b grows or not ? Once you solved this , notice how sexp_b(x) can be such a function if we set the conditions C^2 and 1) , 2) and 3). Also notice that if we modify the conditions such that f ' (0) = 1 AND f '' (0) > 0 we get the same result. ( We do not get weird limits because of the property C^2 ) regards tommy1729 « 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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