Find the Maclaurin Polynomial of Degree 5 for the Function $f ( x ) = \sin ( 2 x )$

question 78

Multiple Choice

Find the Maclaurin polynomial of degree 5 for the function. $f ( x ) = \sin ( 2 x )$

• A) \(2 x - \frac { 4 } { 3 } x ^ { 3 } + \frac { 4 } { 15 } x ^ { 5 }\)
• B) \(2 + \frac { 4 } { 3 } x ^ { 2 } + \frac { 2 } { 3 } x ^ { 2 }\)
• C) \(2 x - \frac { 8 } { 3 } x ^ { 3 } + \frac { 32 } { 5 } x ^ { 5 }\)
• D) \(2 x - \frac { 4 } { 3 } x ^ { 3 } + \frac { 2 } { 3 } x ^ { 5 }\)
• E) \(2 x + \frac { 4 } { 3 } x ^ { 3 } + \frac { 4 } { 15 } x ^ { 5 }\)

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