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

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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:    • Sum of Natural Numbers (second proof ...  
MORE:    • Why -1/12 is a gold nugget  
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:    / sixtysymbols  

Grandi's Series: 1-1+1-1....    • One minus one plus one minus one - Nu...  

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

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