Find the Maclaurin Series for the Function $f ( x ) = e ^ { \frac { x ^ { 7 } } { 9 } }$

question 120

Multiple Choice

Find the Maclaurin series for the function $f ( x ) = e ^ { \frac { x ^ { 7 } } { 9 } }$

• A) \(e ^ { \frac { x ^ { 7 } } { 9 } } = \sum _ { n = 1 } ^ { \infty } \frac { x ^ { 7 n } } { 9 ^ { n } n ! }\)
• B) \(e ^ { \frac { x ^ { 7 } } { 9 } } = \frac { 1 } { 9 } \sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { 7 n } } { n ! }\)
• C) \(e ^ { \frac { x ^ { 7 } } { 9 } } = \sum _ { n = 0 } ^ { \infty } \frac { x ^ { 7 n } } { 9 ^ { n } n ! }\)
• D)\(e ^ { \frac { x ^ { 7 } } { 9 } } = \frac { 1 } { 9 } \sum _ { n = 0 } ^ { \infty } \frac { x ^ { 7 n } } { n ! }\)
• E)\(e ^ { \frac { x ^ { 7 } } { 9 } } = \sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { 7 n } } { 9 ^ { n } n ! }\)

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