Find the First Four Nonzero Terms in the Maclaurin Series $2 x ^ { 2 } + \frac { 4 } { 3 } x ^ { 4 } + \frac { 4 } { 15 } x ^ { 6 } + \frac { 8 } { 315 } x ^ { 8 } + \ldots$

question 92

Multiple Choice

Find the first four nonzero terms in the Maclaurin series for the function.
-x sin(2x)

• A) \(2 x ^ { 2 } + \frac { 4 } { 3 } x ^ { 4 } + \frac { 4 } { 15 } x ^ { 6 } + \frac { 8 } { 315 } x ^ { 8 } + \ldots\)
• B) \(2 x - 2 x ^ { 3 } + \frac { 2 } { 3 } x ^ { 5 } - \frac { 16 } { 45 } x ^ { 7 } + \ldots\)
• C) \(2 x ^ { 2 } - \frac { 4 } { 3 } x ^ { 4 } + \frac { 4 } { 15 } x ^ { 6 } - \frac { 8 } { 315 } x ^ { 8 } + \ldots\)
• D) \(2 x - \frac { 4 } { 3 } x ^ { 4 } + \frac { 8 } { 15 } x ^ { 6 } - \frac { 16 } { 315 } x ^ { 8 } + \ldots\)

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