Determine Whether the Sequence Defined By $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$

question 15

Multiple Choice

Determine whether the sequence defined by $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$ converges or diverges. If it converges, find its limit.

• A) \(\frac { 1 } { 6 }\)
• B) \(- 5\)
• C) \(- \frac { 5 } { 6 }\)
• D) Diverges

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Definitions:

Raphe Nuclei

A group of nuclei found in the brain stem involved in the regulation of sleep and mood, among other functions.

Neurotransmitters

Neurotransmitters are chemical messengers that transmit signals across a chemical synapse, from one neuron to another target neuron, muscle cell, or gland cell.

Serotonin

A neurotransmitter in the brain involved in regulating mood, appetite, and sleep among other functions.

Acetylcholine

A neurotransmitter involved in many functions including muscle movement, heart rate, memory, and also acts as a neuromodulator in the central and peripheral nervous systems.