- #1
atarr3
- 76
- 0
Homework Statement
Test the series for (a) absolute convergence, and (b) conditional convergence.
[tex]\sum\left(-1\right)^{k+1}\frac{k^{k}}{k!}[/tex]
Homework Equations
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.