Find the Coefficient Of $x ^ { 3 }$ In the Maclaurin Series For

question 316

Multiple Choice

Find the coefficient of $x ^ { 3 }$ in the Maclaurin series for $f ( x ) = \sin 2 x$ .

• A) \(- \frac { 2 } { 3 }\)
• B) \(- \frac { 4 } { 3 }\)
• C) \(\frac { 4 } { 3 }\)
• D) \(- \frac { 8 } { 3 }\)
• E) \(\frac { 2 } { 3 }\)
• F) \(\frac { 8 } { 3 }\)
• G) \(- \frac { 1 } { 3 }\)
• H) \(\frac { 1 } { 3 }\)

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