Which of the Following Three Tests Will Establish That the Series

question 32

Multiple Choice

Which of the following three tests will establish that the series $\sum _ { n = 1 } ^ { \infty } \frac { 3 } { n ( n + 2 ) }$ converges?
1) Comparison Test with $\sum _ { n = 1 } ^ { \infty } 3 n ^ { - 2 }$
2) Limit Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 2 }$
3) Comparison Test with $\sum _ { n = 1 } ^ { \infty } 3 n ^ { - 1 }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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Definitions:

Marginal Cost

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

Marginal Cost

The cost of producing one additional unit of a good or service, often varying with the level of production.

Fixed Cost

Expenses that do not change with the level of production or sales, such as rent or salaries.

Total Fixed Costs

The sum of all costs that remain constant regardless of any change in a company's production volume.