Find the Radius of Convergence of the Series $\sum _ { n = 1 } ^ { \infty } \frac { 3 ^ { n } ( x + 1 ) ^ { n } } { n ^ { n } }$

question 262

Multiple Choice

Find the radius of convergence of the series $\sum _ { n = 1 } ^ { \infty } \frac { 3 ^ { n } ( x + 1 ) ^ { n } } { n ^ { n } }$ .

• A)0
• B)2
• C)3
• D)4
• E) \(\frac { 1 } { 2 }\)
• F)1
• G)5
• H) \(\infty\)

---

Definitions:

Output Devices

Output devices are hardware components used to communicate the results of data processing carried out by a computer system to the user or another machine, including printers, monitors, and speakers.

Ladder Logic

A programming methodology utilizing symbols resembling electrical relay diagrams to control industrial and mechanical processes.

I/O Points

Reference to Input/Output points on a device like a PLC, where external devices are connected for data exchange.

Memory Size

The total amount of data storage capacity available in a memory unit or system.