Find the Taylor Polynomial of Order 3 Generated by F $$f ( x ) = e ^ { - 6 x } , a = 0$$

question 29

Multiple Choice

Find the Taylor polynomial of order 3 generated by f at a.
- $$f ( x ) = e ^ { - 6 x } , a = 0$$

• A) \(P _ { 3 } ( x ) = 1 - 36 x + \frac { 1296 x ^ { 2 } } { 2 } - \frac { 46,656 x ^ { 3 } } { 12 }\)
• B) \(P _ { 3 } ( x ) = 1 - 6 x + \frac { 36 x ^ { 2 } } { 2 } - \frac { 216 x ^ { 3 } } { 6 }\)
• C) \(P _ { 3 } ( x ) = 1 - 6 x + \frac { 36 x ^ { 2 } } { 2 } - \frac { 216 x ^ { 3 } } { 3 }\)
• D) \(P _ { 3 } ( x ) = 1 - 6 x + \frac { 36 x ^ { 2 } } { 2 } - \frac { 216 x ^ { 3 } } { 18 }\)

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