Find the Maclaurin Series for the Given Function $$\frac { \sin 2 x } { x }$$

question 436

Multiple Choice

Find the Maclaurin series for the given function.
- $$\frac { \sin 2 x } { x }$$

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { 2 n + 1 } 2 ^ { 2 n + 1 } x ^ { 2 n } } { ( 2 n + 1 ) ! }\)
• B) \(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } 2 ^ { 2 n + 1 } x ^ { 2 n } } { ( 2 n + 1 ) ! }\)
• C) \(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { 2 n + 1 } 2 ^ { 2 n + 1 } x ^ { 2 n } } { ( 2 n + 1 ) ! }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } 2 ^ { 2 n + 1 } x ^ { 2 n } } { ( 2 n + 1 ) ! }\)

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