question 82

Short Answer

$$\text { For which positive integers } k \text { is the series } \sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 5 } } { ( k n ) ! } \text { convergent? }$$

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Definitions:

Symbolic

Pertains to the use of symbols, signs, or objects to represent ideas or concepts, a fundamental aspect of human communication and thought.

Dreams

A series of thoughts, images, and sensations occurring in a person's mind during sleep.

Egocentrism

In developmental psychology, a phase where a child is unable to differentiate between their own perspective and that of others, often observed in early childhood.

Three Mountains Test

A cognitive task used to assess egocentrism in children, involving their ability to understand and describe different perspectives.