Find all such that the series

converges and compute the sum.

First, we apply the ratio test

for all . Therefore this converges for all . Furthermore, we compute the sum, for (since we’ll want to divide by in here),

If then the sum is 0.

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Stumbling Robot

A Fraction of a Dot
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Compute the sum of the series *∑ x*^{n} / (n+3)!

Find all such that the series

converges and compute the sum.

First, we apply the ratio test

for all . Therefore this converges for all . Furthermore, we compute the sum, for (since we’ll want to divide by in here),

If then the sum is 0.