Which of the Following Is the Power Series Centered At a =

question 168

Multiple Choice

Which of the following is the power series centered at $a = 0$ for $f ( x ) = \frac { 1 } { x + 4 }$ ?
1) $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 4 ^ { n } } x ^ { n }$ 2) $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 4 ^ { n + 1 } } x ^ { n }$ 3) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { 4 ^ { n } } x ^ { n - 1 }$

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

Recognize the effects of economies of scale, constant returns to scale, and diseconomies of scale.

Identify the role of specialization and diminishing returns in production.

Interpret representations of production functions and their implications on costs and output.

Distinguish between the short run and long run in production planning.

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Definitions:

Linguistic Divergence

The development of different languages from a single ancestral language.

Tonal Language

A language in which the pitch or tone in which a word is spoken can change its meaning, making tone an essential part of the language's phonology.

Edward Sapir

An American anthropologist and linguist known for his contributions to the study of indigenous languages in North America and his work on the relationship between language, culture, and thought.

Noam Chomsky

An American linguist, philosopher, cognitive scientist, historian, social critic, and political activist known for his profound influence on modern linguistics and his critique of mass media and contemporary political discourse.