Find the Taylor Series Generated by F at X = $$f ( x ) = 3 ^ { x } , a = 5$$

question 460

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$f ( x ) = 3 ^ { x } , a = 5$$

• A) \(\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { 5 ^ { 3 } ( \ln 3 ) ^ { \mathrm { n } } ( \mathrm { x } - 5 ) ^ { \mathrm { n } } } { \mathrm { n } ! }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { 5 ^ { 3 } ( \ln 3 ) ^ { n } ( x - 5 ) ^ { n } } { ( n + 1 ) ! }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { 3 ^ { 5 } ( \ln 3 ) ^ { n } ( x - 5 ) ^ { n } } { ( n + 1 ) ! }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { 3 ^ { 5 } ( \ln 3 ) ^ { n } ( x - 5 ) ^ { n } } { n ! }\)

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