Find all such that the series

converges and compute the sum.

We have

by the expansion for the geometric series. This is convergent for .

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Stumbling Robot

A Fraction of a Dot
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Compute the sum of the series *∑ (-1)*^{n} x^{2n}

Find all such that the series

converges and compute the sum.

We have

by the expansion for the geometric series. This is convergent for .