Question

Determine whether the series is absolutely convergent,
conditionally convergent, or divergent.
1. Sum of (-1)^(n-1)(n)/(n^2+4) with n=1 -> infinite
2. Sum of (n!)/(100^n) with n=1 -> infinite
3. Sum of (n^10)/((-10)^(n+1)) with n=1 -> infinite
4. Sum of (3-cos(n))/(n^(2/3)-2) with n=1 -> infinite