Find the First Three Nonzero Terms of the Maclaurin Series $$f ( x ) = \cos x - \frac { 3 } { 1 - x }$$

question 448

Multiple Choice

Find the first three nonzero terms of the Maclaurin series for the given function and the values of x for which the series
converges absolutely.
- $$f ( x ) = \cos x - \frac { 3 } { 1 - x }$$

• A) \(- 2 + 3 x + \frac { 7 } { 2 } x ^ { 2 } + \ldots , - 1 < x < 1\)
• B) \(- 2 - 3 x - \frac { 7 } { 2 } x ^ { 2 } - \ldots , - 1 < x < 1\)
• C) \(- 2 - 3 x + \frac { 7 } { 2 } x ^ { 2 } - \ldots , - 1 < x < 1\)
• D) \(- 2 - x - \frac { 7 } { 2 } x ^ { 2 } - \ldots , - 1 < x < 1\)

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Definitions:

Kinsey's Rating Scale

A scale measuring sexual orientation developed by Alfred Kinsey, ranging from 0 (exclusively heterosexual) to 6 (exclusively homosexual).

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Pertaining to a sexual orientation characterized by attraction to individuals of the same sex.

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