Find all such that the series

converges and compute the sum.

By the ratio test we have

for all . Thus, the series converges for all . Furthermore, we compute the sum from the series expansion of ,

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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}) / n!

Find all such that the series

converges and compute the sum.

By the ratio test we have

for all . Thus, the series converges for all . Furthermore, we compute the sum from the series expansion of ,