Let be a convergent series.

Let be the nth partial sum of the above series.

Then .

Should this be obvious? I don't get it.

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- Apr 9th 2011, 09:01 PMRandom Variablepartial sums
Let be a convergent series.

Let be the nth partial sum of the above series.

Then .

Should this be obvious? I don't get it. - Apr 9th 2011, 09:08 PMProve It
It might help to note that ...

- Apr 9th 2011, 09:35 PMRandom Variable

Reverse the order of summation? - Apr 9th 2011, 11:08 PMRandom Variable
It makes sense when you write out the terms.

- Apr 9th 2011, 11:16 PMDrexel28