Well actually we dont know!. This might surprise you a bit but the actual fact is that from centuries mathematicians have debated over this . It was scientist Srinivasa Ramanujan who had proved the fact that sum of all postive numbers is actually very small and by small I mean just -1/12.

If you dont believe me then take a look at the above snapshot taken from Wikipedia.
If you are more interested(Which you should be!!) , then you can go to this link !
http://en.wikipedia.org/wiki/1*%2B*2*%2B*3*%2B*4*%2B*%E2%8B%AF

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TopNewestRamanujan was not the first to prove that relation.I challenge you to cite any source which has clearly written that Ramanujan was the first to prove that relation.

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