Find the Taylor Series Generated by F at X = $$\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { 9 \mathrm { x } } , \mathrm { a } = 3$$

question 320

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { 9 \mathrm { x } } , \mathrm { a } = 3$$

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { e ^ { 27 } 9 ^ { n } ( x - 3 ) ^ { n } } { ( n + 1 ) ! }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { e ^ { 27 } 9 ^ { n + 1 } ( x - 3 ) ^ { n } } { ( n + 1 ) ! }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { e ^ { 27 } 9 ^ { n + 1 } ( x - 3 ) ^ { n } } { n ! }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { e ^ { 27 } 9 ^ { n } ( x - 3 ) ^ { n } } { n ! }\)

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