Determine Whether the Series Is Convergent or Divergent by Expressing $S _ { n }$

question 125

Multiple Choice

Determine whether the series is convergent or divergent by expressing $S _ { n }$ as a telescoping sum. If it is convergent, find its sum. $\sum _ { n = 2 } ^ { \infty } \frac { 3 } { n \left( n ^ { 2 } - 1 \right) }$ .

• A) diverges
• B) \(\frac { 1 } { 4 }\)
• C) \(\frac { 3 } { 4 }\)
• D) \(2\)
• E) \(1\)

---

Definitions:

Msinfo32

A Windows command used to bring up the System Information window from a command prompt. The System Information window contains details about hardware and hardware configurations as well as software and software drivers.

Dxdiag

A Windows command to access DirectX software that helps resolve DirectX display and sound driver problems.

Defrag

The Windows command line command that starts the defragmentation process of reordering and placing files in contiguous sectors for better performance.

Chown

A Linux command that changes ownership.