Which series diverges by the integral test?
∑n=2∞1n(lnn)2\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^2}∑n=2∞n(lnn)21
∑n=2∞1nlnn\sum_{n=2}^{\infty} \frac{1}{n \ln n}∑n=2∞nlnn1
∑n=1∞1n1.5\sum_{n=1}^{\infty} \frac{1}{n^{1.5}}∑n=1∞n1.51
∑n=1∞1n2lnn\sum_{n=1}^{\infty} \frac{1}{n^2 \ln n}∑n=1∞n2lnn1