Determine Whether the Series Is Absolutely Convergent, Conditionally Convergent, or Divergent

question 107

Short Answer

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
$$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \sqrt [ 6 ] { n } }$$

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Definitions:

Neuron

A specialized cell in the nervous system that transmits information through electrical and chemical signals, serving as the basic building block of the brain and nervous system.

Glial Cells

Supportive and protective cells in the central and peripheral nervous systems that are not neurons.

Cell

The basic structural, functional, and biological unit of all known living organisms, serving as the building blocks of life.

Potassium Ions

Essential ions in the body that help regulate heart function, muscle contractions, and nerve signals.