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Topic: Summing Integers to infinity
Replies: 40   Last Post: Jan 25, 2014 9:02 PM

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fom

Posts: 1,969
Registered: 12/4/12
Re: Summing Integers to infinity
Posted: Jan 22, 2014 1:28 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 1/22/2014 11:26 AM, WM wrote:
> Am Mittwoch, 22. Januar 2014 17:49:51 UTC+1 schrieb J.B. Wood:
>> Hello, all. Most of us I think know that the nth summation of the
>>
>> integers n = 0,1,2... is given by [n * (n + 1)]/2.
>>
>>
>>
>> An associate of mine claims it can be proved that summing n integers
>>
>> from zero to infinity is equal to -1/12. Since this arithmetic series
>>
>> doesn't converge I fail to see how this is possible.

>
> It is impossible.
>

>> Your time and
>>
>> comment is most certainly appreciated. Sincerely,

>
> Here you can see how Euler obtained this erroneous result.
> http://www.hs-augsburg.de/~mueckenh/GU/GU02.PPT#356,24,Folie 24
> He used a formula that is valid for |x| < 1 for x = 1.
>
> Regards, WM
>


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Date Subject Author
1/22/14
Read Summing Integers to infinity
J.B. Wood
1/22/14
Read Re: Summing Integers to infinity
FredJeffries@gmail.com
1/22/14
Read Re: Summing Integers to infinity
Richard Tobin
1/22/14
Read Re: Summing Integers to infinity
wolfgang.mueckenheim@hs-augsburg.de
1/22/14
Read Re: Summing Integers to infinity
fom
1/22/14
Read Re: Summing Integers to infinity
wolfgang.mueckenheim@hs-augsburg.de
1/22/14
Read Re: Summing Integers to infinity
Port563
1/22/14
Read Re: Summing Integers to infinity
fom
1/25/14
Read Re: Summing Integers to infinity
wolfgang.mueckenheim@hs-augsburg.de
1/25/14
Read Re: Summing Integers to infinity
Port563
1/25/14
Read Re: Summing Integers to infinity
Roland Franzius
1/25/14
Read Re: Summing Integers to infinity
Port563
1/25/14
Read Re: Summing Integers to infinity
Tanu R.
1/25/14
Read Re: Summing Integers to infinity
wolfgang.mueckenheim@hs-augsburg.de
1/25/14
Read Re: Summing Integers to infinity
Port563
1/25/14
Read Re: Summing Integers to infinity
wolfgang.mueckenheim@hs-augsburg.de
1/25/14
Read Re: Summing Integers to infinity
Port563
1/25/14
Read Re: Summing Integers to infinity
Virgil
1/25/14
Read Re: Summing Integers to infinity
Virgil
1/25/14
Read Re: Summing Integers to infinity
Port563
1/25/14
Read Re: Summing Integers to infinity
Virgil
1/25/14
Read Re: Summing Integers to infinity
Tanu R.
1/25/14
Read Re: Summing Integers to infinity
Port563
1/25/14
Read Re: Summing Integers to infinity
Tanu R.
1/25/14
Read Re: Summing Integers to infinity
wolfgang.mueckenheim@hs-augsburg.de
1/25/14
Read Re: Summing Integers to infinity
Virgil
1/25/14
Read Re: Summing Integers to infinity
Virgil
1/22/14
Read Re: Summing Integers to infinity
Virgil
1/23/14
Read Re: Summing Integers to infinity
David C. Ullrich
1/22/14
Read Re: Summing Integers to infinity
magidin@math.berkeley.edu
1/22/14
Read Re: Summing Integers to infinity
J.B. Wood
1/22/14
Read Re: Summing Integers to infinity
FredJeffries@gmail.com
1/23/14
Read Re: Summing Integers to infinity
Tanu R.
1/22/14
Read Re: Summing Integers to infinity
Wizard-Of-Oz
1/22/14
Read Re: Summing Integers to infinity
Wizard-Of-Oz
1/22/14
Read Re: Summing Integers to infinity
Virgil
1/23/14
Read Re: Summing Integers to infinity
David C. Ullrich
1/23/14
Read Re: Summing Integers to infinity
gnasher729
1/24/14
Read Re: Summing Integers to infinity
ross.finlayson@gmail.com
1/23/14
Read Re: Summing Integers to infinity
Tanu R.
1/23/14
Read Re: Summing Integers to infinity
Tanu R.

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