Article View: fj.sci.math
Article #13987Re: tower series (was: Re: [Q];a problem of limit)
From: Yuzuru Hiraga
Date: Thu, 25 Jan 1996 00:00
Date: Thu, 25 Jan 1996 00:00
34 lines
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1944 bytes
$BJ?2l!w?^=q4[>pJsBg3X$G$9!#(J $B<+8J%U%)%m!<$G$9!#(J In article <DLKnLF.6Cw@ulis.ac.jp> I wrote: >$BNc$N!'(J a^(1/2)^(1/3)^...^(1/n)^... $B$N7o$G$9!#(J ... >g(x) = a^a^x $B$O!"(J ... >$B$7$?$,$C$FJ}Dx<0(J x=g(x) $B$O!J(Ja $B$NCM$K1~$8$F!K2r$,#18D$"$k$+!"#38D$"$k$+$N(J >$B$$$:$l$+$G!"#18D$N$H$-$,(J T(a) $B$,<}B+!"#38D$N$H$-$,&A!"&B$,I=$o$l!"(J >T(a) $B$,H/;6$N>l9g$K$J$j$^$9!#(J > >$B$=$N6-3&$H$J$k$N$,!"(JA = 0.065988035845... $B$G$9!#(J >$B$D$^$j(J 0<a<A $B$J$i(J T(a) $B$OH/;6!"(JA$B!e(Ja(<1) $B$J$i<}B+$G$9!#(J >$B!J(JA $B$N2r@OE*I=8=$O$o$+$j$^$;$s$,!"(J-log(x) = x^(1/log(x)) $B$N2r$G$9!K!#(J $B$3$l$O$^$A$,$$$G$O$"$j$^$;$s$,!"Bg%\%1$G$7$?!#(J x^(1/log(x)) $B$O91EyE*$K(J e $B$KEy$7$$Dj?t4X?t$G$9!#(J # $BHyJ,$7$F(J 0 $B$K$J$C$FX3A3$H$7$?!#(J ;-) $B$7$?$,$C$F>e<0$O(J -log(x) = e $B$G$"$j!"(J A = 0.065988035845... $B$O(J e^(-e) $B$K!"(J1/A = 15.15... $B$O(J e^e $B$K$[$+$J$j$^$;$s!#(J $B$D$^$j2r@OE*I=8=$,$"$j$^$9!#(J >$B$^$?F1MM$N5DO@$K$h$j!"(J > T(1/(n+1)^2) = (1/4)^(1/9)^(1/16)^... > T(1/2^n) = (1/2)^(1/4)^(1/8)^... > T(1/sqrt(n+1)) = (1/sqrt(2))^(1/sqrt(3))^(1/sqrt(4))^... >$B$J$I$bH/;6$9$k$3$H$,$o$+$j$^$9!#(J $B$3$l$O$^$"!"C1$K(J T(f) $B$G(J f(n)->0 $B$H$J$kNc$G$9!#(J # $B$H$$$C$F$b!"855-;v$r8+$J$$$H$3$l$G$O$J$s$@$+$o$+$i$s$J$"!#(J $B!JJ?2l!K(J
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,e29653388192c851 X-Google-Attributes: gidf4956,public From: hiraga@ulis.ac.jp (Yuzuru Hiraga) Subject: Re: tower series (was: Re: [Q];a problem of limit) Date: 1996/01/25 Message-ID: <DLqI50.qu@ulis.ac.jp> X-Deja-AN: 136534394 distribution: fj sender: news@ulis.ac.jp (bach Usenet News System) references: <WAKAMATU.96Jan16190259@hakobe.kurims.kyoto-u.ac.jp> <DLAzAC.CFH@ulis.ac.jp> <DLKnLF.6Cw@ulis.ac.jp> organization: Univ. of Lib. & Info. Sci., Tsukuba Japan newsgroups: fj.sci.math