Which of these series converges?
∑n=1∞n!2n\sum_{n=1}^{\infty} \frac{n!}{2^n}∑n=1∞2nn!
∑n=1∞2nn!\sum_{n=1}^{\infty} \frac{2^n}{n!}∑n=1∞n!2n
∑n=1∞ln(n)\sum_{n=1}^{\infty} \ln(n)∑n=1∞ln(n)
∑n=1∞n+1n\sum_{n=1}^{\infty} \frac{n+1}{n}∑n=1∞nn+1