Consider the sequence Sn=∑k=1nkn2+kS_n = \sum_{k=1}^n \frac{k}{n^2+k}Sn=∑k=1nn2+kk. Which of the following describes the limit as n→∞n \to \inftyn→∞?
The limit is 000.
The limit is 1/21/21/2.
The limit is 111.
The limit diverges.