How did Euler came up with a solution of 1/4 for the series 1-2+3-4.... There is a wikipedia page explaining it,(adsbygoogle = window.adsbygoogle || []).push({});

http://en.wikipedia.org/wiki/1_−_2_+_3_−_4_+_·_·_·

but I'm not quite following the manipulation of the numbers. How is a 1 pulled out and everything else goes to 0? It just doesn't make any sense to me.

Also how is it that a divergent series can equal a single number? Is that not the definition of convergence? To go to a single number? What is up with this? Thanks a lot!

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# 1-2+3-4 divergent series confusion

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