For which values of ppp does ∑n=2∞1n(lnn)p\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^p}∑n=2∞n(lnn)p1 converge?
For all p>0p > 0p>0
For p>1p > 1p>1 only
For p≥1p \geq 1p≥1
Never; the series always diverges