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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
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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
>

Do you have this in any other format?

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

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