Let F(x) = $e ^ { x / 2 }$ Determine the Second Taylor Polynomial of F(x) at X

question 33

Multiple Choice

Let f(x) = $e ^ { x / 2 }$ . Determine the second Taylor polynomial of f(x) at x = 2.

• A) 1 + \(\frac { 1 } { 2 }\) (x - 2) + \(\frac { 1 } { 8 }\) \(( x - 2 ) ^ { 2 }\)
• B) 1 - \(\frac { 1 } { 2 }\) (x - 2) + \(\frac { 1 } { 8 }\) \(( x - 2 ) ^ { 2 }\)
• C) 1 + \(\frac { 1 } { 2 }\) (x - 2) + \(\frac { 1 } { 6 }\) \(( x - 2 ) ^ { 2 }\)
• D) e + \(\frac { \mathrm { e } } { 2 }\) (x - 2) + \(\frac { \mathrm { e } } { 8 }\) \(( x - 2 ) ^ { 2 }\)

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