Use the Ratio Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } \frac { 4 n ! } { n ^ { n } }$$

question 163

Multiple Choice

Use the Ratio Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 4 n ! } { n ^ { n } }$$

• A) Diverges
• B) Converges

Grasp the concept of cognitive surplus and its creative applications.

Identify various methods and tools for coding, learning, and content contribution on the web.

Understand the role of discipline and responsibility in achieving personal and professional goals.

Identify the elements of the Peak Performance Success Formula and how they contribute to personal development.

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Definitions:

Means-tested Programs

Government assistance programs where eligibility is based on the recipient's income or resources.

Aggregate Supply

The total supply of goods and services that firms in an economy plan on selling during a specific time period at various price levels.

Aggregate Demand

The comprehensive market demand for all types of goods and services within an economy, pegged at a certain price level throughout a specific time period.

Future Generations

Refers to the people who will live in the future, whose interests are considered in various aspects of planning and policy-making, especially in environmental and sustainability contexts.