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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...
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.

Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Tumblr: http://numberphile.tumblr.com
Videos by Brady Haran

A run-down of Brady's channels: http://bit.ly/bradychannels

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