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

question 84

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

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Definitions:

Liquidating Dividend

A type of dividend paid by a company from its capital rather than its earnings, often during dissolution or winding down.

Date of Record

The cut-off date set by a company in order to determine which shareholders are eligible to receive a dividend or distribution.

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Earnings per share (EPS) is a financial metric that represents the portion of a company's profit allocated to each outstanding share of common stock, indicating the company's profitability.