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) $\lim_{n\rightarrow \infty } S ( n ) = 6$

Question

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)  $\lim_{n\rightarrow \infty } S ( n ) = 6$

Quizplus · Accepted Answer

The Answer is A

Find lim⁡n→∞S(n)∑i=1n[4−2(in)](1n)\lim _{n \rightarrow \infty} S(n) \sum_{i=1}^{n}\left[4-2\left(\frac{i}{n}\right)\right]\left(\frac{1}{n}\right)limn→∞​S(n)∑i=1n​[4−2(ni​)](n1​) A) lim⁡n→∞S(n)=3\lim_{n\rightarrow \infty } S ( n ) = 3limn→∞​S(n)=3

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) $\lim_{n\rightarrow \infty } S ( n ) = 3$