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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- April 9th 2011, 10:01 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. - April 9th 2011, 10:08 PMProve It
It might help to note that ...

- April 9th 2011, 10:35 PMRandom Variable

Reverse the order of summation? - April 10th 2011, 12:08 AMRandom Variable
It makes sense when you write out the terms.

- April 10th 2011, 12:16 AMDrexel28