Find the Maclaurin Polynomial of Degree 4 for the Function $$f ( x ) = \cos ( 5 x )$$

question 83

Multiple Choice

Find the Maclaurin polynomial of degree 4 for the function. $$f ( x ) = \cos ( 5 x )$$

• A) \(1 + \frac { 25 } { 2 } x ^ { 2 } - \frac { 625 } { 24 } x ^ { 4 }\)
• B) \(1 - \frac { 25 } { 2 } x ^ { 2 } + \frac { 625 } { 24 } x ^ { 4 }\)
• C) \(1 - \frac { 125 } { 6 } x ^ { 2 } + \frac { 625 } { 24 } x ^ { 4 }\)
• D) \(1 + \frac { 125 } { 6 } x ^ { 2 } - \frac { 625 } { 24 } x ^ { 4 }\)
• E) \(x - \frac { 125 } { 6 } x ^ { 3 } + \frac { 625 } { 24 } x ^ { 5 }\)

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