Determine Whether the Series Is Absolutely Convergent, Conditionally Convergent, or Divergent

question 24

Multiple Choice

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } \arctan n } { n ^ { 4 } }$

• A) conditionally convergent
• B) absolutely convergent
• C) divergent

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Definitions:

Reversible Contraception

Birth control methods that can be discontinued to restore fertility, such as pills, intrauterine devices, and condoms.

Abstinence

The practice of refraining from indulging in certain activities, most commonly referring to abstaining from sexual activity or substance use.

Sterilization

A surgical procedure that makes the reproductive organs incapable of producing or “delivering” viable gametes (sperm and eggs).

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