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I saw this equation on a blackboard today: $\displaystyle \sum_{n=0}^\infty (-1)^n$

It got me thinking -- this must oscillate between $1$ and $0$, yes? So then does this sum even have a meaningful value?

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    yes, the sequence of partial sum is not convergent. It does'nt converge.2012-05-16
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    What you say you saw on the blackboard is not an equation. If you want a broad generic term, you could write "I saw this expression on the blackboard today:". Or of course you could just say "I saw this sum on the blackboard today:".2012-05-16
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    Related: http://math.stackexchange.com/questions/129479/why-do-some-divergent-series-apparently-seem-to-converge-e-g-grandis-series2012-05-16

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