Determine If the Series Converges or Diverges; If the Series $$\sum _ { n = 0 } ^ { \infty } e ^ { - 4 n }$$

question 8

Multiple Choice

Determine if the series converges or diverges; if the series converges, find its sum.
- $$\sum _ { n = 0 } ^ { \infty } e ^ { - 4 n }$$

• A) Converges; \(\frac { e ^ { 4 } } { e ^ { 4 } - 1 }\)
• B) Converges; \(\frac { 1 } { \mathrm { e } ^ { - 4 } - 1 }\)
• C) Converges; \(\frac { e ^ { - 4 } } { e ^ { - 4 } - 1 }\)
• D) Diverges

---

Definitions:

Primates

An order of mammals that includes humans, monkeys, and apes, characterized by advanced cognitive abilities and complex social behaviors.

Hair Flipping

can be a nonverbal communication gesture or a form of body language often associated with flirting or emphasizing one's appearance.

Ritualized Flight

A behavioral adaptation in which potential conflicts are avoided through evolved patterns of escape or avoidance displays.

Flirting

A social and sometimes sexual behavior involving verbal or written communication as well as body language by one person to another, either to suggest interest in a deeper relationship with the other person, or if done playfully, for amusement.