Consider the series $\displaystyle{ \sum_{n=1}^{\infty} {\frac{3}{n^{2}+n}} }$.

1. The general formula for the sum of the first $n$ terms is $S_n =$ . Your answer should be in terms of $n$.
2. The sum of a series is defined as the limit of the sequence of partial sums, which means
   $\displaystyle{ \sum_{n=1}^{\infty} {\frac{3}{n^{2}+n}} = \lim_{n \to \infty} \bigg( }$ $\displaystyle{\bigg) = }$ .
3. Select all true statements (there may be more than one correct answer):
   A. The series is a telescoping series (i.e., it is like a collapsible telescope).
   B. The series is a geometric series.
   C. The series converges.
   D. Most of the terms in each partial sum cancel out.
   E. The series is a p-series.