Determine the convergence of ∑n=1∞cos(nπ)np\sum_{n=1}^{\infty} \frac{\cos(n\pi)}{n^p}∑n=1∞npcos(nπ) for p=0.5p=0.5p=0.5.
Converges conditionally
Converges absolutely
Diverges
Converges only for even nnn