Which of these series converges?
∑n=1∞n+1n2\sum_{n=1}^{\infty} \frac{n+1}{n^2}∑n=1∞n2n+1
∑n=1∞1n\sum_{n=1}^{\infty} \frac{1}{\sqrt{n}}∑n=1∞n1
∑n=1∞12n\sum_{n=1}^{\infty} \frac{1}{2^n}∑n=1∞2n1
∑n=1∞ln(n)\sum_{n=1}^{\infty} \ln(n)∑n=1∞ln(n)