Consider the series ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞an. If an=lnnnpa_n = \frac{\ln n}{n^p}an=nplnn, for what ppp does it converge?
p>1p > 1p>1
p≤1p \le 1p≤1
p<1p < 1p<1
p=1p = 1p=1