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

Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
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_BNNI5x4

Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
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

NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

Videos by Brady Haran

Brady’s videos subreddit: http://www.reddit.com/r/BradyHaran/

Brady’s latest videos across all channels: http://www.bradyharanblog.com/

Sign up for (occasional) emails: http://eepurl.com/YdjL9

Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile