ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
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_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also hear 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.