Find the Maclaurin Polynomial of Degree 3 for the Function $f ( x ) = e ^ { - 9 x }$

question 77

Multiple Choice

Find the Maclaurin polynomial of degree 3 for the function.
$f ( x ) = e ^ { - 9 x }$

• A) \(- 1 + 9 x - \frac { 81 } { 2 } x ^ { 2 } + \frac { 243 } { 2 } x ^ { 3 }\)
• B) \(1 - 9 x + \frac { 81 } { 2 } x ^ { 2 } - \frac { 243 } { 2 } x ^ { 3 }\)
• C) \(1 + 9 x + \frac { 81 } { 2 } x ^ { 2 } + \frac { 243 } { 2 } x ^ { 3 }\)
• D) \(1 - 9 x - \frac { 81 } { 2 } x ^ { 2 } - \frac { 243 } { 2 } x ^ { 3 }\)
• E) \(1 - 9 x + \frac { 81 } { 2 } x ^ { 2 } + \frac { 243 } { 2 } x ^ { 3 }\)

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