Determine Whether $\sum _ { n = 1 } ^ { \infty } \frac { \cos n + 3 ^ { n } } { n ^ { 2 } + 5 ^ { n } }$

question 33

Short Answer

Determine whether $\sum _ { n = 1 } ^ { \infty } \frac { \cos n + 3 ^ { n } } { n ^ { 2 } + 5 ^ { n } }$ is convergent or divergent.

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Definitions:

De-energized Position

A state where electrical power is not being supplied or is intentionally removed from a circuit or device.

Power Circuits

Electrical circuits designed to carry high currents or operate at high voltages, often used for the distribution and control of electric power.

States

Conditions or situations that something can be in, often used in contexts like software states or physical states of matter.

Pull-in Current

The minimum current required to activate or "pull-in" a device, such as a relay or solenoid.