Fascinating Video with more than million hits

GameSetAndMath

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How much do you think is the following sum

1+2+3+4+5+............................up to infinity.

One would think answer would be a very large number or one would say the
answer would be inifinity.

In the following video, two physicists demonstrate the above sum actually
evaluates to $-1/12$.


http://www.youtube.com/watch?feature=player_embedded&v=w-I6XTVZXww