Answer:


The series does not converge
Explanation:
Given ...

Find
whether S converges.
Solution
The (-1)^k factor has a magnitude of 1, so the magnitude of term k can be written as ...

This is non-decreasing for k>1 (all k-values of interest)
As k gets large, the fraction tends toward zero, so we have ...

Terms of the sum alternate sign, approaching a difference of 1. The series does not converge.