Find the Limit of the Sequence $a _ { n } = \cos \left( \frac { n \pi } { 2 } \right)$

question 122

Multiple Choice

Find the limit of the sequence $a _ { n } = \cos \left( \frac { n \pi } { 2 } \right)$ .

• A)0
• B)1
• C) \(\frac { 3 \pi } { 2 }\)
• D) \(- \frac { 3 \pi } { 2 }\)
• E)-1
• F) \(\frac { \pi } { 2 }\)
• G) \(- \frac { \pi } { 2 }\)
• H)Divergent

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Definitions:

Deadweight Loss

The loss of economic efficiency that occurs when the equilibrium for a good or service is not achieved or is not achievable.

Marginal Cost

The extra expense associated with manufacturing an additional unit of a product or service.

Maximum Willingness

Describes the highest amount a consumer is willing to pay for a good or service, reflecting the maximum value they derive from it.

Producer Surplus

The discrepancy between the acceptable payment to producers for a good or service and the real compensation they receive.