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

Identify the foundations and critical aspects of cognitive-developmental theories.

Analyze the role of the scientific method in developmental psychology research, including hypothesis formulation and research methodologies.

Interpret the role of culture and social interaction in development according to Vygotsky's theory.

Explain the concept of data in research and different research types and their implications on developmental conclusions.

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Definitions:

Negative Charge

An electrical charge that results from having more electrons than protons in an atom or molecule.

Molecule

The smallest unit of a chemical compound that retains its chemical properties, consisting of two or more atoms bonded together.

Silica

A chemical compound of silicon and oxygen, often found in quartz and used in glass making and electronics.

Halite

Halite is a naturally occurring mineral known as rock salt, consisting mainly of sodium chloride (NaCl), and is often mined for use in cooking and as a road deicer.