For the series ∑n=1∞cos(nπ)np\sum_{n=1}^{\infty} \frac{\cos(n\pi)}{n^p}∑n=1∞npcos(nπ), for what range of ppp does the series converge absolutely?
p>0p > 0p>0
p>1p > 1p>1
p>0.5p > 0.5p>0.5
Never