Which series diverges by the Divergence Test?
∑n=1∞nn+1\sum_{n=1}^{\infty} \frac{n}{n+1}∑n=1∞n+1n
∑n=1∞1n2\sum_{n=1}^{\infty} \frac{1}{n^2}∑n=1∞n21
∑n=1∞12n\sum_{n=1}^{\infty} \frac{1}{2^n}∑n=1∞2n1
∑n=1∞1n!\sum_{n=1}^{\infty} \frac{1}{n!}∑n=1∞n!1