(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Test the series for (a) absolute convergence, and (b) conditional convergence.

[tex]\sum\left(-1\right)^{k+1}\frac{k^{k}}{k!}[/tex]

2. Relevant equations

3. The attempt at a solution

So I tried taking the absolute value and then applying the ratio test, which, after simplifying gives me [tex]\frac{\left(k+1\right)^{k}}{k^{k}}[/tex] and then using the root test, but that simplifies to [tex]\frac{k+1}{k}[/tex] which converges at 1 and therefore those tests are inconclusive.

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# Homework Help: Absolute and Conditional Convergence Problem

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