Which of the Three Series Below Converges?
1) $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n \ln n }$

question 50

Multiple Choice

Which of the three series below converges?
1) $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n \ln n }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 2 } }$
3) $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 3 } }$

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

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Definitions:

Firm

An organization that produces and sells goods or services in order to make a profit.

Derived Demand

Derived demand refers to the demand for a good or service that arises from the demand for another good or service it produces or contributes to.

Labor Service

The work performed by employees for employers, contributing to the production of goods or the provision of services in exchange for wages.

MRP = MRC Rule

The principle that to maximize profit (or minimize losses), a firm should employ the quantity of a resource at which its marginal revenue product (MRP) is equal to its marginal resource cost (MRC), the latter being the wage rate in a purely competitive labor market.