Find all complex numbers such that the series

converges.

Consider,

Then, by the ratio test we have

Hence, by the ratio test the series is absolutely convergent for all .

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Stumbling Robot

A Fraction of a Dot
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Find all *z* such that the series *((-1)*^{n} z^{3n}) / n!

Find all complex numbers such that the series

converges.

Consider,

Then, by the ratio test we have

Hence, by the ratio test the series is absolutely convergent for all .