Determine Whether the Sequence Converges or Diverges $$a _ { n } = e ^ { n / ( n + 6 ) }$$

question 17

Short Answer

Determine whether the sequence converges or diverges. If it converges, find the limit.
$$a _ { n } = e ^ { n / ( n + 6 ) }$$

---

Definitions:

Tongue

A muscular organ in the mouth that is instrumental in tasting, swallowing, and speaking.

Phantom Sensations

The perception of sensations, often pain, in a limb that has been amputated, suggesting that sensory processing related to the limb persists in the brain.

Cortex

The outer layer of the brain, involved in numerous high-level functions, including sensation, perception, memory, association, thought, and voluntary physical action.

Limbic System

A complex system of nerves and networks in the brain, involved with instinct and mood control, and the basic emotional drives.