Find the Maclaurin Polynomial of Degree 4 for the Function $$f ( x ) = e ^ { 9 x }$$

question 60

Multiple Choice

Find the Maclaurin polynomial of degree 4 for the function. $$f ( x ) = e ^ { 9 x }$$

• A) \(1 + 9 x + \frac { 81 } { 2 } x ^ { 2 } + \frac { 243 } { 2 } x ^ { 3 } + \frac { 2187 } { 8 } x ^ { 4 }\)
• B) \(1 - 9 x + \frac { 27 } { 2 } x ^ { 2 } + \frac { 243 } { 2 } x ^ { 3 } + \frac { 2187 } { 8 } x ^ { 4 }\)
• C) \(1 - 9 x + \frac { 27 } { 2 } x ^ { 2 } - \frac { 243 } { 4 } x ^ { 3 } + \frac { 2187 } { 16 } x ^ { 4 }\)
• D) \(1 + 9 x + \frac { 27 } { 2 } x ^ { 2 } + \frac { 243 } { 4 } x ^ { 3 } + \frac { 2187 } { 16 } x ^ { 4 }\)
• E) \(1 + 9 x + \frac { 81 } { 2 } x ^ { 2 } + \frac { 729 } { 4 } x ^ { 3 } + \frac { 2187 } { 2 } x ^ { 4 }\)

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