๐Ÿš€ go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: fj.sci.math
Article #13764

Re: 1 = 0.9999 ?

#13764
From: Atsushi Takahashi
Date: Thu, 20 Jun 1996 00:00
33 lines
1402 bytes


   ใฏใ˜ใ‚ใพใ—ใฆใ€‚ใŸใ‹ใฏใ—๏ผ ในใฃใ“ใ‚ใ‚ใงใ™ใ€‚
ใ“ใฎใ‚ฐใƒซใƒผใƒ—ใฏใฏใ˜ใ‚ใฆใงใ™ใ€‚ใ‚ˆใ‚ใ—ใใŠใญใŒใ„ใ—ใพใ™ใ€‚


From article <4q3ei5$1jmi@panther.asahi-net.or.jp>
	by EE6S-AMNM@j.asahi-net.or.jp : wrote

> 
> ------------------------ ใ“ใ“ใ‹ใ‚‰ ------------------------
>  (1)    1/3 = 0.3333๏ผˆไปฅไธ‹็„ก้™ใซ็ถšใ๏ผ‰
>  (2)    (1/3) * 3 = 1
>  (3)    0.3333๏ผˆไปฅไธ‹็„ก้™๏ผ‰ * 3 = 0.9999๏ผˆไปฅไธ‹็„ก้™๏ผ‰
>     ไปฅไธŠใ‚ˆใ‚Š๏ผŒ
>  (4)    1 = 0.9999๏ผˆไปฅไธ‹็„ก้™๏ผ‰
> ------------------------ ใ“ใ“ใพใง ------------------------
> 
                
  ใผใใฏใ€ไปฅไธ‹ใฎใ‚ˆใ†ใซ็ดๅพ—ใ—ใฆใ„ใพใ™ใ€‚

                       โˆž                9/10 
  0.99999 (ไปฅไธ‹็„ก้™) = ฮฃ 9*(1/10)^i = --------- = 1 
                       i=1              1-1/10


      
ใพใšใ„ใงใ—ใ‚‡ใ†ใ‹?
ไธญๅญฆ็”Ÿใซใฏ่ชฌๆ˜Žใงใใพใ›ใ‚“ใญใ€‚้ซ˜ๆ ก็”Ÿใชใ‚‰ใ„ใ„ใ‚“ใงใ™ใ‘ใ‚Œใฉใ€‚


       ใŸใ‹ใฏใ—ใ‚ใคใ—
Technical Details
Message-ID: <4qbr90$g2r@fu.bekkoame.or.jp>
Path: arc1-ca.pugleaf.net!unknown!not-for-mail
References: <4q3ei5$1jmi@panther.asahi-net.or.jp>

Show Full Headers
Complete Article Headers
X-Google-Language: Japanese,JIS
X-Google-Thread: f4956,f7ef0e07e24a2c9f
X-Google-Attributes: gidf4956,public
From: atst@leo.bekkoame.or.jp (Atsushi Takahashi)
Subject: Re: 1 = 0.9999 ?
Date: 1996/06/20
Message-ID: <4qbr90$g2r@fu.bekkoame.or.jp>
X-Deja-AN: 161405208
distribution: fj
references: <4q3ei5$1jmi@panther.asahi-net.or.jp>
content-type: text/plain; charset=ISO-2022-JP
organization: BEKKOAME\INTERNET
mime-version: 1.0
newsgroups: fj.sci.math