Find the Taylor Series Generated by F at X = $$f ( x ) = \frac { 1 } { x } , a = 7$$

question 179

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$f ( x ) = \frac { 1 } { x } , a = 7$$

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { ( x - 7 ) ^ { n } } { 7 ^ { n } }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 7 ) ^ { n } } { 7 ^ { n } }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { ( x - 7 ) ^ { n } } { 7 ^ { n + 1 } }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 7 ) ^ { n } } { 7 ^ { n + 1 } }\)

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Definitions:

Compound Proposition

A statement formed by combining two or more propositions with a logical operator, such as "and," "or," or "not."

Contrapositions

Logical relationships between statements where the antecedent of one is the negation of the consequent of the other, and vice versa.

Contraries

Concepts, assertions, or items that are opposite in nature, characteristics, or meaning.

Contradictories

Propositions or statements that cannot both be true at the same time, but can both be false; in classical logic, the relationship between two logical statements where one negates the other.