Does the series ∑n=2∞1np(lnn)q\sum_{n=2}^{\infty} \frac{1}{n^p(\ln n)^q}∑n=2∞np(lnn)q1 converge for p=1,q=1p=1, q=1p=1,q=1?
Yes
No
Only if alternating
Depends on start index