Use the Comparison Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } \frac { 5 } { 2 n + 7 \sqrt { n } }$$

question 228

Multiple Choice

Use the Comparison Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 5 } { 2 n + 7 \sqrt { n } }$$

• A) diverges
• B) converges

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Definitions:

Controller

A device or set of devices that manage, command, direct, or regulate the behavior of other devices or systems using control loops.

Scan Time

The time taken by a programmable logic controller (PLC) to read inputs, execute logic, and update outputs, crucial for the timing of control processes.

Scan Time

The amount of time it takes for a PLC to complete one cycle of reading input conditions, executing logic, and updating outputs.