Find the Taylor Polynomial of Order 3 Generated by F $$f ( x ) = x ^ { 3 } , a = 10$$

question 97

Multiple Choice

Find the Taylor polynomial of order 3 generated by f at a.
- $$f ( x ) = x ^ { 3 } , a = 10$$

• A) \(P _ { 3 } ( x ) = 6 + 3 ( x - 10 ) + ( x - 10 ) ^ { 2 } + ( x - 10 ) ^ { 3 }\)
• B) \(P _ { 3 } ( x ) = 1000 + 100 ( x - 10 ) + 100 ( x - 10 ) ^ { 2 } + ( x - 10 ) ^ { 3 }\)
• C) \(P _ { 3 } ( x ) = 1000 + 300 ( x - 10 ) + 30 ( x - 10 ) ^ { 2 } + ( x - 10 ) ^ { 3 }\)
• D) \(\mathrm { P } _ { 3 } ( \mathrm { x } ) = 4000 + 300 ( \mathrm { x } - 10 ) + 20 ( \mathrm { x } - 10 ) ^ { 2 } + ( \mathrm { x } - 10 ) ^ { 3 }\)

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