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

question 141

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. Select the correct answer.

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

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Definitions:

Consumer Surplus

The divergence between the aggregate amount consumers are willing and have the means to pay for a good or service, and what they truly pay.

Producer Surplus

The disparity between what sellers are ready to take for a product or service and the actual amount they get.

Minimum Imposed Price

A price floor set by the government or other regulatory body, above the equilibrium price, to prevent prices from falling too low.

Consumer Surplus

The difference between what consumers are willing to pay for a good or service and what they actually pay, representing a measure of consumer satisfaction.