Determine Whether $\sum _ { n = 1 } ^ { \infty } 3 n e ^ { - n ^ { 2 } }$

question 22

Short Answer

Determine whether $\sum _ { n = 1 } ^ { \infty } 3 n e ^ { - n ^ { 2 } }$ converges or diverges.

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Definitions:

Falling Asleep

The transition from wakefulness to sleep, marked by loss of consciousness and decreased responsiveness to external stimuli.

Hypoventilation

A medical condition in which breathing is insufficient to properly exchange gases (oxygen and carbon dioxide), often leading to increased blood carbon dioxide levels.

Breaths Too Little

Refers to hypoventilation, a condition where breathing is too shallow or too slow to meet the needs of the body.

Hot Flashes

Sudden feelings of warmth, typically associated with menopause, that are not caused by the external environment.