Find the Taylor Series Generated by F at X = $$f ( x ) = e ^ { x } , a = 10$$

question 28

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$f ( x ) = e ^ { x } , a = 10$$

• A) \(\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { \mathrm { e } ^ { 10 } ( \mathrm { x } - 10 ) ^ { \mathrm { n } } } { \mathrm { n } ! }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { e ^ { 10 } ( x - 10 ) ^ { n } } { ( n + 1 ) ! }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { \mathrm { e } ^ { 10 } ( \mathrm { x } - 10 ) ^ { \mathrm { n } + 1 } } { \mathrm { n } ! }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { e ^ { 10 } ( x - 10 ) ^ { n + 1 } } { ( n + 1 ) ! }\)

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