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Topic: .99999... still=/= 1
Replies: 43   Last Post: Dec 8, 2004 3:31 PM

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Tim Brauch

Posts: 201
Registered: 12/6/04
Re: .99999... still=/= 1
Posted: Dec 2, 2004 11:24 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


smart1234@aol.com (S. Enterprize Company) wrote in
<a href="news://20041202054510.06111.00000837@mb-m23.aol.com:">news://20041202054510.06111.00000837@mb-m23.aol.com:</a>

&gt;
&gt; A Harmonic Series is an exception to the rule. The above shown
&gt; series
&gt; appears to be a harmonic series similar to,
&gt;
&gt; 1 + 1/2 + 1/3 + 1/4 + ....

Yes, this is harmonic and diverges. However, the series

1 + 1/2 + 1/4 + 1/8 + 1/16 + ...

is not harmonic and converges. It is geometric with r = 1/2. Look in your
books for a geometric series and find out when it converges and when it
diverges.

Just because something (1 + 1/2 + 1/4 + 1/8 + ...) might somehow resemble
something else (1 + 1/2 + 1/3 + 1/4 + ...), does not at all mean they are
similar in any way. Surely an apple and a wax apple look similar.
However, I would rather bite into the former than the latter.


- Tim

--
Timothy M. Brauch
NSF Fellow
Department of Mathematics
University of Louisville

email is:
news (dot) post (at) tbrauch (dot) com



Date Subject Author
11/28/04
Read Re: .99999... still=/= 1
robert j. kolker
11/29/04
Read Re: .99999... still=/= 1
S. Enterprize Company
11/29/04
Read Re: .99999... still=/= 1
lasse_rempe@yahoo.de
11/29/04
Read Re: .99999... still=/= 1
Randy Poe
11/29/04
Read Re: .99999... still=/= 1
S. Enterprize Company
11/29/04
Read Re: .99999... still=/= 1
Brian Quincy Hutchings
11/29/04
Read Re: .99999... still=/= 1
S. Enterprize Company
11/30/04
Read Re: .99999... still=/= 1
Brian Quincy Hutchings
12/1/04
Read Re: .99999... still=/= 1
The Ghost In The Machine
11/29/04
Read Re: .99999... still=/= 1
Randy Poe
11/29/04
Read Re: .99999... still=/= 1
S. Enterprize Company
11/30/04
Read Re: .99999... still=/= 1
robert j. kolker
11/30/04
Read Re: .99999... still=/= 1
S. Enterprize Company
11/30/04
Read Re: .99999... still=/= 1
S. Enterprize Company
11/30/04
Read Re: .99999... still=/= 1
Dr. David Kirkby
12/1/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/1/04
Read Re: .99999... still=/= 1
Tim Brauch
12/1/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/1/04
Read Re: .99999... still=/= 1
Richard Henry
12/1/04
Read Re: .99999... still=/= 1
Dr. David Kirkby
12/2/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/2/04
Read Re: .99999... still=/= 1
Tim Brauch
12/4/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/4/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/4/04
Read Re: .99999... still=/= 1
Richard Henry
12/5/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/8/04
Read Re: .99999... still=/= 1
tinyurl.com/uh3t
12/1/04
Read Re: .99999... still=/= 1
Tim Brauch
11/29/04
Read Re: .99999... still=/= 1
Brian Quincy Hutchings
11/30/04
Read Re: .99999... still=/= 1
Brian Quincy Hutchings
12/1/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/1/04
Read Re: .99999... still=/= 1
Richard Henry
12/1/04
Read Re: .99999... still=/= 1
The Ghost In The Machine
12/2/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/2/04
Read Re: .99999... still=/= 1
The Ghost In The Machine
12/2/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/2/04
Read Re: .99999... still=/= 1
Sonic
12/2/04
Read Re: .99999... still=/= 1
Brian Quincy Hutchings
12/5/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/5/04
Read Re: .99999... still=/= 1
Dr. David Kirkby
12/5/04
Read Re: .99999... still=/= 1
S. Enterprize Company
12/5/04
Read Re: .99999... still=/= 1
Dr. David Kirkby
12/6/04
Read Re: .99999... still=/= 1
Sonic

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