🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: sci.physics
Article #5079

Re: Help me deal w/ infinity

#5079
From: NE28
Date: Mon, 21 Dec 1992 19:47
12 lines
847 bytes
I don't really see your problem, because in my opinion 0.9(r)
is equal to one.
Proof:
Consider the sum 0.9+0.09+0.009+.....
It can be easily rewritten as 9*Sum((1/10)^n),n=1 to infinity.
This is just the geometrical sum.
the limit of the above is 9*(1/(1-(1/10)))-9
(the -9 is because the geometrical sum starts with n=0.)
that is (10/9)*9-9=1.
So you see 1=0.9(r)
Greetings
Carsten Grueber
Technical Details
Message-ID: <1h5708INNblo@nz12.rz.uni-karlsruhe.de>
Path: arc1-ca.pugleaf.net!sparky!uunet!cis.ohio-state.edu!zaphod.mps.ohio-state.edu!darwin.sura.net!jvnc.net!yale.edu!ira.uka.de!rz.uni-karlsruhe.de!not-for-mail

Show Full Headers
Complete Article Headers
Path: arc1-ca.pugleaf.net!sparky!uunet!cis.ohio-state.edu!zaphod.mps.ohio-state.edu!darwin.sura.net!jvnc.net!yale.edu!ira.uka.de!rz.uni-karlsruhe.de!not-for-mail
From: NE28@DKAUNI2.BITNET
Newsgroups: sci.physics
Subject: Re: Help me deal w/ infinity
Date: 21 Dec 1992 20:47:20 +0100
Organization: University of Karlsruhe, Germany
Lines: 12
Sender: usenet@nz12.rz.uni-karlsruhe.de
Distribution: world
Message-ID: <1h5708INNblo@nz12.rz.uni-karlsruhe.de>