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Article #13732

Re: 1 = 0.9999 ?

#13732
From: Ippei Kohama
Date: Mon, 17 Jun 1996 00:00
30 lines
1304 bytes
$B$3$O$^(Bas$B2?$r1#$=$&?t3X65;U$G$9!#(B

$B!t(B\sqrt{a}\sqrt{b}\neq\sqrt{ab}$BO@$K$O>h$jCY$l$F(B
$B!t%U%)%m!<$G$-$J$+$C$?$N$G$9(B(;_;)$B!#(B

$B5-;v(B<4q3ei5$1jmi@panther.asahi-net.or.jp>$B$G$N(B,
EE6S-AMNM@j.asahi-net.or.jp   (amanuma,satoshi / $BE7>B!!Ao(B) $B$5$s$N<!$N5-=R$K4X$7$F!J0lItN,!K(B:
>>  (1)    1/3 = 0.3333$B!J0J2<L58B$KB3$/!K(B
>>  (2)    (1/3) * 3 = 1
>>  (3)    0.3333$B!J0J2<L58B!K(B * 3 = 0.9999$B!J0J2<L58B!K(B
>>     $B0J>e$h$j!$(B
>>  (4)    1 = 0.9999$B!J0J2<L58B!K(B

$B$&$A$N%.%g!<%+%$$G$h$/$d$k$3$H$G$9$,!"(B

   u=0.9999...      $B$H$9$k$H!"(B

    10u=9.9999...
-)    u=0.9999...
-----------------
     9u=9     ->   u=1

$B$H$$$&<jK!$G$9!#(B
$BG<F@$$$?$@$1$?$G$7$g$&$+!)(B

---
$B>._@(B $B0oJ?(B with Macintosh PowerBook550c + eNWS 0.2.0d
kohama@osk.threewebnet.or.jp 
$B%4!<%4!<%<%C%H$OJuDM5-G0$K$O=P$k$N$+$J!)(B
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X-Google-Language: Japanese,JIS
X-Google-Thread: f4956,f7ef0e07e24a2c9f
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From: kohama@osk.threewebnet.or.jp (Ippei Kohama)
Subject: Re: 1 = 0.9999 ?
Date: 1996/06/17
Message-ID: <4q3q45$3sv@webosaka.threeweb.ad.jp>
X-Deja-AN: 162056726
references: <4q3ei5$1jmi@panther.asahi-net.or.jp>
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newsgroups: fj.sci.math