Which of the Following Series Converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { n + 1 }$

question 2

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { n + 1 }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { \sqrt { n + 1 } } { n ^ { 2 } + 2 }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \sqrt { n + 1 } }$

• 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:

Organic Inferiority

A concept suggesting that individuals are motivated to overcome physical or psychological deficiencies perceived as inherent weaknesses.

Gifted

Individuals, often children, who demonstrate outstanding levels of aptitude or competence in one or more domains.

Sibling Rivalry

Competition, jealousy, and conflict among brothers and sisters which may involve striving for parental attention, love, or approval.

Illness

A condition of poor health perceived or experienced by an individual, often characterized by disease, dysfunction, or disorder.