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Which of the Following Series Are Convergent, but Not Absolutely n=1(e)n\sum _ { n = 1 } ^ { \infty } ( - e ) ^ { - n }

question 143

Multiple Choice

Which of the following series are convergent, but not absolutely convergent?
1) n=1(e) n\sum _ { n = 1 } ^ { \infty } ( - e ) ^ { - n }
2) n=1(1) nn1\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { - n } n ^ { - 1 }
3) n=1(1) nn2\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { - n } n ^ { - 2 }

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Definitions:

Organic Organizations

A flexible and adaptive organizational structure that allows for quick decision-making processes and decentralized authority.

Bureaucratic Features

Characteristics of a bureaucratic organization include a hierarchical structure, formal rules and regulations, specialization, and an impersonal relationship between its members.

Worker Empowerment

The practice of giving employees the authority, resources, and freedom to make decisions and contribute to the company's success in meaningful ways.

Organic Design

An organization structure that is decentralized, with fewer rules and procedures, open divisions of labour, wide spans of control, and more personal coordination.

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