Determine Whether the Series Is Convergent or Divergent $\sum _ { n = 1 } ^ { \infty } \frac { 6 ^ { n } } { n ! n }$

question 100

Short Answer

Determine whether the series is convergent or divergent. $\sum _ { n = 1 } ^ { \infty } \frac { 6 ^ { n } } { n ! n }$

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Definitions:

Federal Trade Commission

A U.S. federal agency established in 1914 to promote consumer protection and the elimination and prevention of anticompetitive business practices.

Legal Cartel Theory

A concept where a group of firms or entities legally agree to control production, pricing, or marketing of goods and services to dominate a market.

Average Total Cost

The total cost of production (fixed and variable costs combined) divided by the number of units produced, indicative of cost per unit.

Price-fixing

An illegal agreement among competitors to set prices at a certain level, rather than letting them be determined naturally by the market.