Article View: fj.sci.math
Article #14005Re: [Q];a problem of limit
From: Yuzuru Hiraga
Date: Fri, 12 Jan 1996 00:00
Date: Fri, 12 Jan 1996 00:00
91 lines
4346 bytes
4346 bytes
$BJ?2l!w?^=q4[>pJsBg3X$G$9!#(J In article <WAKAMATU.96Jan11210753@hakobe.kurims.kyoto-u.ac.jp> wakamatu@kurims.kyoto-u.ac.jp (Wakamatsu Kazuhiro) writes: >$B<c>>$G$9!#(J > >In article <inoue-1001961339430001@amateras.ma.ns.musashi-tech.ac.jp> inoue@ma.ns.musashi-tech.ac.jp (INOUE Koichi) writes: > >In article <4b8ih2$obf@ayame.ipc.chiba-u.ac.jp>, > >hagiwara@yuri.ipc.chiba-u.ac.jp (ManAV) wrote: > >|$B#2!0!J#1!?#2!K!a(J1.41421356............ > >|$B$H$$$&=q$-J}$r$9$k$H!"$"$kCM$K6aIU$$$F$k$s$@$J$H$o$+$k$H;W$$$^$9!#(J ... deleted ... >$B;W$&$K!"(Jx^y $B$K$D$$$F(J y $B$,M-M}?t$J$iDj5A$G$-$k$1$I(J >(y=n/m $B$J$i(J m $B>h$7$F!"(Jx^n $B$H$J$k?t$H$7$F!K(J >$B0lHL$N<B?t$@$H!"$h$/$o$+$i$J$$!"$C$F$3$H$8$c$J$$$+$H46$8$k$s$G$9$,!D(J >$B$"$?$C$F$k$G$7$g$&$+!)(J $B7kO@$+$i8@$&$H!"$"$?$C$F$$$^$;$s!#(J $B$3$N7o$K$D$$$F$O$O$.$o$i$5$s$H%a!<%k$N$d$j$H$j$r$7$?$N$G!"(J $B$@$$$?$$$N;v>p$O$o$+$C$?$D$b$j$G$$$^$9!#(J $BK\?MH4$-$GOC$r$9$k$N$b$J$s$G$9$,!"$3$N$^$^(J thread $B$,B3$$$F$b(J $BITLS$@$H;W$&$N$G0l1~=q$$$F$_$^$9!#(J ===== $B$O$.$o$i$5$s$,0z$C$+$+$C$F$$$k$N$O!"(J $B85$NLdBj$K$*$$$F!J4JC1$N$?$a(J a = sqrt(2) $B$H=q$-$^$9!K!'(J a^a^a^....^a^...$B!"$D$^$j(J a^(a^(a^...)...) $B$H$$$&L58B$Y$->h!J$H$$$&$N$+$J!K$K$*$$$F!"(J $B!V$I$3$+$i7W;;$r;O$a$?$i$$$$$+$o$+$i$J$$!";O$a$i$l$k$H$3$m$,$J$$!W(J $B$H$$$&$3$H$@$H;W$$$^$9!#(J $B$?$H$($PIaDL$NL58B5i?t$J$i!"Dj5A$K$h$C$F$b(J a1 + a2 + ... + an + ... $B$O=g<!!"(J a1 a1+a2 a1+a2+a3 ... $B$H7W;;$7$F$$$/$3$H$,$G$-!"$=$l$>$l$NItJ,OB$O6K8BCM$N6a;wCM$r(J $B=g<!M?$($F$/$l$^$9!#(J $B$H$3$m$,(J a^a^a^... $B$N>l9g!"$=$N$h$&$J!VItJ,OB!W$KAjEv$9$k(J $B7W;;$,$G$-$J$$!"$H$$$&$3$H$i$7$$!#(J $B$3$l$r(J a, a^a, (a^a)^a, ... $B$N$h$&$K:8$+$i7W;;$7$F$$$C$F$O$b$A$m$s0UL#$,(J $BJQ$o$C$F$7$^$$$^$9$+$i$*$+$7$/$J$j$^$9!J$3$l$,=i4|$N5-;v$K$"$C$?OC$G$9!K!#(J $B!V$8$c$I$3$+$i;O$a$k$s$@!)!W$H$$$&$3$H$G$9!#(J ===== $B$5$F!"$3$l$KBP$7$F!#(J $B$3$N$h$&$J5?Ld$,@8$8$k860x$NBh#1$O!"$Y$->h$,1&7k9gE*1i;;$G$"$kE@$G$9!#(J $B$7$?$,$C$FDL>o$N<0$r:8$+$i1&$K=q$/N.57$G$O!"(J a^a^a^... $B$H$J$C$F$$$F$b7W;;$O1&$+$i:8$K$7$J$1$l$P$J$j$^$;$s!#(J $BL58B$KB3$/$H$=$N=PH/E@$,$J$$!"$H$$$&$3$H$G$9$M!#(J $B$3$l$KBP$7$F$O!"1&7k9gE*1i;;$J$iB>$N>l9g!J$?$H$($PL58BO"J,?t!K(J $B$G$bF1$8$@$7!"L58B5i?t$G$b(J a1+(a2+(a3+...)...) $B$H=q$+$l$F$$$?$iF1$8$@$+$i!"$=$&$$$&$b$N$@$HG<F@$7$F$b$i$&$[$+$J$5$=$&$G$9!#(J $B$b$C$H$bL58B5i?t$N>l9g$J$i!J@dBP<}B+@-$H$+I,MW$J2>Dj$r$*$$$?>e$G!K7k9gK!B'!'(J a+(b+c) = (a+b)+c $B$rE,MQ$7$F:8$+$i1&$N7W;;$KD>$9$3$H$,$G$-$^$9!#(J $B$H$3$m$,$Y$->h$G$O7k9gK!B'$,@.$jN)$A$^$;$s!'(J (a^b)^c = a^(bc) $B!b(J a^(b^c) $B$3$l$,Bh#2$N860x$G$9!#(J $B$?$@7W;;$,$G$-$J$$!"$H$$$&$3$H$O$J$/$F!"%*%j%8%J%k$N5-;v$K$"$k$h$&$K!"(J a[0] = a a[n] = a^(a[n-1]) $B$H$$$&A22=<0$G9M$($l$PJL$K2?$NLdBj$b$"$j$^$;$s!#(J $B$7$+$b3F9`$O$A$c$s$H!VItJ,OB!W$KAjEv$9$k$b$N$rM?$($F$/$l$F(J $B$$$k$s$G$9$,$M$(!#(J $B!J$D$^$jESCf$^$G$N7W;;7k2L$,!"$=$l0J8e$N7W;;$K$=$N$^$^;H$($k!#!K(J ===== $B$=$3$G9M$($k$K!"%`%j%d%j:87k9gE*$K$7$F$7$^$&$3$H$r$7$F$_$^$9!#(J x^y == y!x $B$H$$$&Dj5A$G?7$7$$1i;;(J ! $B$rF3F~$7$F$d$l$P!"%a%G%?%/(J a!a!a!... = (a!a)!a... $B$H$J$C$F!"=jK>$N7A$K$G$-$^$9!#(J $B$b$C$H$b$3$l$O<B<A>e$NA22=<0$HF1$8$3$H$G$9$,!#(J $B$?$@$3$N<j$,DLMQ$9$k$N$O!"$Y$-$K=P$F$/$k?t$,$9$Y$F(J a $B$H$$$&Dj?t$@$+$i$G!"(J a^(1/2)^(1/3)^...^(1/n)^... $B$N$h$&$KC`<!JQ$o$C$F$$$/$H!"$b$&%@%a$G$9!#(J $B$3$l$OA22=<0$H$7$F$b=q$1$J$$!"$D$^$jBh(J n $B9`$^$G$N7W;;$r$=$l$>$l(J $BFHN)$K9T$&$h$j$J$$$H;W$&$N$G$9$,!"2?$+$h$$J}:v$,$"$j$^$7$?$i(J $B$*65$($/$@$5$$!JG0$N$?$a!'JL$K$3$l$N6K8BCM$,$[$7$$$o$1$G$O$"$j$^$;$s!K!#(J $B!JJ?2l!K(J
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,e29653388192c851 X-Google-Attributes: gidf4956,public From: hiraga@ulis.ac.jp (Yuzuru Hiraga) Subject: Re: [Q];a problem of limit Date: 1996/01/12 Message-ID: <DL1x9I.KM5@ulis.ac.jp> X-Deja-AN: 134932592 distribution: fj sender: news@ulis.ac.jp (bach Usenet News System) references: <4b8ih2$obf@ayame.ipc.chiba-u.ac.jp> <inoue-1001961339430001@amateras.ma.ns.musashi-tech.ac.jp> <WAKAMATU.96Jan11210753@hakobe.kurims.kyoto-u.ac.jp> organization: Univ. of Lib. & Info. Sci., Tsukuba Japan newsgroups: fj.sci.math