Which series converges for all values of ppp?
∑n=1∞1np\sum_{n=1}^{\infty} \frac{1}{n^p}∑n=1∞np1
∑n=1∞pnn!\sum_{n=1}^{\infty} \frac{p^n}{n!}∑n=1∞n!pn
∑n=1∞n!pn\sum_{n=1}^{\infty} \frac{n!}{p^n}∑n=1∞pnn!
∑n=1∞np\sum_{n=1}^{\infty} n^p∑n=1∞np