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ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12

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Published on Jan 9, 2014

Read this too: http://www.bradyharanblog.com/blog/20...
More links & stuff in full description below ↓↓↓

EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv

Tony Padilla and Ed Copeland are physicists at the University of Nottingham.

They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols

Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BN...

Read more about divergent series: http://en.wikipedia.org/wiki/Divergen...
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.

Support us on Patreon: http://www.patreon.com/numberphile

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