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What is the sum of this infinite series?

Asked by PhiNotPi (12681points) August 21st, 2011

What is the sum of the infinite series-
1/(8) + 1/(27) + 1/(64)...
Where each term is 1/n^3.
Someone has probably already solved this somewhere, so you could just link to the answer.

This is not homework. From what I can tell, this is an extremely difficult problem.

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