Which of the following series diverge? (Select all that apply.)
∑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∞(−1)n+1n2\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^2}∑n=1∞n2(−1)n+1
∑n=1∞n2n\sum_{n=1}^{\infty} \frac{n}{2^n}∑n=1∞2nn