Which of the following series convergence tests could be applied to test the infinite series $\displaystyle \sum\limits_{n=1}^\infty \frac{\left(-1\right)^{n}n}{\left(2n\right)!}$ for absolute convergence? Check all that apply.
A. Ratio test
B. Alternating series test
C. Geometric series test
D. Limit comparison test
E. Divergence test
F. P-Series test
G. Integral test
H. Comparison Test

What is the result? The series
Converges
Converges absolutely
Converges conditionally
Diverges
Choose the best answer from the list.