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:

Animals

Multicellular, eukaryotic organisms of the kingdom Animalia that consume organic material, breathe oxygen, can move, reproduce sexually, and grow from a hollow sphere of cells, the blastula, during early embryonic development.

Cholesterol

A type of lipid that is an essential structural component of animal cell membranes and can be either dietary or synthesized by the liver.

Molecule(s)

The smallest unit of a chemical compound that can exist; consists of two or more atoms bonded together.

Digestion

The biological process by which organisms break down food into smaller components, enabling nutrient absorption and waste elimination.