By the comparison test, which series must converge given that ∑n=1∞1n2\sum_{n=1}^{\infty} \frac{1}{n^2}∑n=1∞n21 converges?
∑n=1∞1n3\sum_{n=1}^{\infty} \frac{1}{n^3}∑n=1∞n31
∑n=1∞1n\sum_{n=1}^{\infty} \frac{1}{n}∑n=1∞n1
∑n=1∞nn2+1\sum_{n=1}^{\infty} \frac{n}{n^2+1}∑n=1∞n2+1n
∑n=1∞sin(1n)\sum_{n=1}^{\infty} \sin\left(\frac{1}{n}\right)∑n=1∞sin(n1)