🚀 go-pugleaf

$B:4F#!wF`NI@hC<$H?=$7$^$9!#(B

>> $B$O$8$a$^$7$F!%E7>B!wD9Ln;TL1$H?=$7$^$9!%(B

$B$O$8$a$^$7$F!#(B

>>  (4)    1 = 0.9999$B!J0J2<L58B!K(B
>> $B$3$N>ZL@$O!$K\Ev$KH`$N$$$&$h$&$K!V@5$7$$!W$N$G$7$g$&$+!)(B

$B$9$G$KBgNL$N%U%)%m!<$,F~$C$F$$$^$9$,!"(B1=0.9999..$B$H(B0^0$B!"(B1=-1$B$J$I$O(B
sci.math$B$G$O$9$G$K(BFAQ$B$G!"2a5n$K2?EY$b2?EY$b5DO@$5$l$F$$$^$9!#(B
$B!t$J$s$F$M!"KM$,(Bsci.math$B$r$$$D$bFI$s$G$$$kLu$8$c$"$j$^$;$s(B ;-)

FAQ$B$K$h$k$H!"(B0.9999...$B$H$$$&$N$O(B9/10+9/100+9/1000+....$B$NL58BOB$G!"(B
$B$3$l$K$h$j<!$N$h$&$J%$%W%7%m%s(B-$B%G%k%?O@K!$,;H$($k$=$&$G$9!#(B

                    oo              m
                   ---   9         ---   9
        0.999... = >   ---- = lim  >   ----
                   --- 10^n  m->oo --- 10^n
                   n=1             n=1
        $B&E(B > 0$B$H$J$k$h$&$KA*$S!"&D(B = 1/-log_10 $B&E$H2>Dj$9$k$H!"(B
        $B&E(B = 10^(-1/$B&D(B)$B!#(B $B$9$k$HG$0U$N(B m>1/$B&D(B $B$KBP$7(B

        |  m           |
        | ---   9      |     1          1
        | >   ---- - 1 | = ---- < ------------ = $B&E(B
        | --- 10^n     |   10^m   10^(1/$B&D(B)
        | n=1          |

        $B=>$C$F&E$OL58B$K>.$5$/$G$-$k$+$i(B
               m
              ---   9
         lim  >   ---- = 1
        m->oo --- 10^n
              n=1
$B$3$l$K$h$j!"(B0.999999...$B$O(B1$B$NN,<0E*$J=q$-J}$@$H$$$&$3$H$,8@$($k$=$&$G$9!#(B
$BCf3X$G=,$&(B
   x=0.99999...
 10x=9.99999...
$B$N>ZL@$b7A<0E*$K$O@5$7$$$H;W$$$^$9!#(B
--
+--------------+ $B:4F#(B $BE/(B   http://www.aist-nara.ac.jp/~tetu-s/tetu-s.html
|Soft I made is| Tetsu Satoh ,Nara Institute of Science and Technology,Japan
|ALL copyleft  |TEL:0742-35-4326 e-mail:tetu-s@is.aist-nara.ac.jp
+--------------+ $B%=%U%H%&%'%"8&5f%"%+%G%_!<BeI=(B