The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Finally the discussion is over: S = Lim S is a bad definition.
Replies: 3   Last Post: Oct 5, 2017 2:28 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Dan Christensen

Posts: 8,219
Registered: 7/9/08
Re: Finally the discussion is over: S = Lim S is a bad definition.
Posted: Oct 5, 2017 2:22 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Thursday, October 5, 2017 at 1:22:37 PM UTC-4, John Gabriel wrote:

> >
> > 0.999... is a short hand for an infinite sum (S = 0.9+0.09+0.009+...) which we define as the limit of a finite sum (Lim S = Lim {n \to \infty} 1-10^(-n)) as the number of terms approaches infinity.

> Yes, S = Lim S. Clear as water.

Wrong again, Troll Boy. That should be:

S = Lim(n-->oo): S_n

where S_n = 1 - 1/10^n (the nth partial sum)

S_1 = 0.9
S_2 = 0.99
S_3 = 0.999

and so on.


Download my DC Proof 2.0 software at
Visit my Math Blog at

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.