Determine the Sum of the Series $\sum _ { n = 1 } ^ { \infty } \left( \frac { \pi } { e } \right) ^ { n }$

question 118

Multiple Choice

Determine the sum of the series $\sum _ { n = 1 } ^ { \infty } \left( \frac { \pi } { e } \right) ^ { n }$ .

• A) \(\frac { e } { e - \pi }\)
• B) \(\frac { \mathrm { e } } { \pi }\)
• C) \(\frac { \pi } { \mathrm { e } - \pi }\)
• D) none of these

---

Definitions:

Menarche

A girl’s first menstruation.

North American Newborn

An infant born in North America, often referring to the health, social, and environmental aspects specific to this geographic region.

Puberty

A period of rapid physical maturation involving hormonal and bodily changes that take place primarily in early adolescence.

Physical Maturation

The process of bodily growth and development, particularly the changes experienced during puberty that lead to a mature adult body.