Determine Whether the Given Series Converges or Diverges $\sum _ { n = 1 } ^ { \infty } \left( 1 + \frac { 8 } { n } \right) ^ { n }$

question 14

Multiple Choice

Determine whether the given series converges or diverges. If it converges, find its sum. $\sum _ { n = 1 } ^ { \infty } \left( 1 + \frac { 8 } { n } \right) ^ { n }$

• A) \(e ^ { - 8 }\)
• B) Diverges
• C) 1
• D) \(e ^ { 8 }\)

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Definitions:

Mexican Pesos

The official currency of Mexico, symbolized by the sign "$" or "MXN" when distinguishing it from other dollar-denominated currencies.