Find $\lim _{n \rightarrow \infty} S(n) \sum_{i=1}^{n}\left[4-2\left(\frac{i}{n}\right)\right]\left(\frac{1}{n}\right)$ A) $\lim_{n\rightarrow \infty } S ( n ) = 3$

Multiple Choice

Find $\lim _{n \rightarrow \infty} S(n) \sum_{i=1}^{n}\left[4-2\left(\frac{i}{n}\right) \right]\left(\frac{1}{n}\right)$

A) $\lim_{n\rightarrow \infty } S ( n ) = 3$
B) $\lim _{n\rightarrow \infty }S ( n ) = 7$
C) $\lim_{n\rightarrow \infty } S ( n ) = 4$
D) $\lim_{n\rightarrow\infty } S ( n ) = 5$
E) $\lim_{n\rightarrow \infty } S ( n ) = 6$