# set of complex numbers

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1.Find an example of a sequence an of complex numbers such that the series

SUM a_n converges (conditionally), yet the series SUM a^(3)_n diverges.

2.Determine the set of complex numbers z for which the series SUM(1Ã¢?'z^2)^n converges.

SUM means sigma.

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#### Solution Summary

Determine the set of complex numbers from this case.

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