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Article #13969

Re: [Q];a problem of limit

#13969
From: Takanari HAYAMA
Date: Mon, 18 Dec 1995 00:00
40 lines
2155 bytes
  $B9b9;$N;~!"?t3X%3%s$Z$G$3$NLdBj$r2r$-$^$7$?!#(B(^^;;

On 12/14/95(22:53) quano@kurims.kyoto-u.ac.jp (Quano Y.-H.) wrote
in <QUANO.95Dec14225351@olive.kurims.kyoto-u.ac.jp> (fj.sci.math:6549/maple):
 | |$BLd!((B
 | |  a(0)=1, a(n)=$B"e#2(B^a(n-1)   ($B"e#2$N(Ba(n-1)$B>h(B)
 | |  $B$3$NA22=<0$,<}B+$9$k$J$i$P$=$N6K8B$r5a$a$h!#(B
 |
 |$B$^$:!"<}B+@-$OC1D4@-$HM-3&@-$+$i=>$$$^$9!#$^$:!"C1D4@-$OL@$i$+$G$9$M!#(B
 |a(n)$B!f(B1$B$@$+$i!"(Ba(n)=$B"e#2(B^a(n-1)>$B#1(B^a(n-1)=a(n-1)$B$J$N$G!#<!$KM-3&@-$O!"(B
 |a(n)$B$NI=<0$N0lHV>.$5$J"e#2$r#2$KCV$-49$($k$3$H$K$h$j!"(B
 |a(n)<$B"e#2(B^{$B"e#2(B^{$B!D"e#2(B{^$B#2(B}$B!D(B}}=$B"e#2(B^{$B"e#2(B^{$B!D(B{^$B#2(B}$B!D(B}}=$B!D(B=$B#2(B
 |$B$+$iJ,$+$k!#(B
 |
 |$B6K8B$r(Ba$B$H$9$k$H!"(Ba$B!e#2$G!""e#2(B^a=a$B$,@.$jN)$D!#8N$K(Ba=$B#2!#(B

  $B9b9;@8$N?t3X$N%l%Y%k$G2r$/$H!"(B

	a = $B"e(B2^$B"e(B2^$B"e(B2^$B"e(B2^$B"e(B2^$B"e(B2....

  $B$3$l$N(B log $B$r$H$k$H!"(B

	ln(a)/ln($B"e(B2) = $B"e(B2^$B"e(B2^$B"e(B2^$B"e(B2^$B"e(B2^$B"e(B2....

  $B$7$?$,$C$F!"(B

	ln(a)/ln($B"e(B2) = a

  $B$H$J$j!"(B

	1/a ln(a) = 1/2 ln(2)

  $B$H$J$j$^$9!#$3$3$+$i!"(Ba = 2 $B$G$"$m$&$H!V?dB,!W$G$-(B
$B$^$9!#(B(^^; $B$3$&$$$&2r$-J}$b$G$-$k!"$H$$$&0lNc$G$9$,!#(B
--
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			 $BC<;35.Li(B(Takanari HAYAMA)
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Message-ID: <mrTmW.taki@softlab.is.tsukuba.ac.jp>
Path: arc1-ca.pugleaf.net!unknown!not-for-mail
References: <94M08.95Dec12161137@ume.math.tohoku.ac.jp>

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From: taki@softlab.is.tsukuba.ac.jp (Takanari HAYAMA)
Subject: Re: [Q];a problem of limit
Date: 1995/12/18
Message-ID: <mrTmW.taki@softlab.is.tsukuba.ac.jp>
X-Deja-AN: 122222481
distribution: fj
sender: news@is.tsukuba.ac.jp (News Manager)
references: <94M08.95Dec12161137@ume.math.tohoku.ac.jp> 
organization: Institute of Information Sciences & Electronics, University of Tsukuba, Japan
reply-to: taki@softlab.is.tsukuba.ac.jp (Takanari HAYAMA,[OS],,)
newsgroups: fj.sci.math