Use the Limit Comparison Test (If Possible) to Determine Whether $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { \sqrt [ 9 ] { n ^ { 2 } + 9 } }$$

question 36

Multiple Choice

Use the Limit Comparison Test (if possible) to determine whether the series $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { \sqrt [ 9 ] { n ^ { 2 } + 9 } }$$

• A) diverges
• B) converges
• C) Limit Comparison Test does not apply

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Definitions:

Spinal Cord

A long, thin, tubular structure made up of nervous tissue, which extends from the brain, down the back, and transmits nerve signals between the brain and the body.

Brain

A complex organ of the central nervous system, responsible for processing sensory information, regulating bodily functions, and enabling cognitive abilities such as thought and emotion.

Neuron

A specialized cell of the nervous system responsible for transmitting information throughout the body in the form of electrical and chemical signals.

Nerve Cell

Also known as a neuron, it is the fundamental unit of the nervous system responsible for transmitting information throughout the body via electrical and chemical signals.