Determine Whether the Sequence $a _ { n } = \frac { ( - 1 ) ^ { n - 1 } } { n . 1 }$

question 30

Essay

Determine whether the sequence $a _ { n } = \frac { ( - 1 ) ^ { n - 1 } } { n . 1 }$ converges or diverges. If it converges, find the limit.

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Definitions:

Golgi Body

A complex of vesicles and folded membranes within the cytoplasm of most eukaryotic cells, involved in secretion and intracellular transport.

Soma

The cell body of a neuron, containing the nucleus and metabolic machinery necessary for maintaining cell functions.

Nucleus

The central organelle in a cell containing genetic material (DNA) and responsible for growth, metabolism, and reproduction.

Nerve Net

Simple nervous system that has no center but consists of neurons that receive sensory information and connect directly to other neurons that move muscles.