Find the Taylor Series Generated by F at X = $$f ( x ) = x ^ { 4 } + 8 x ^ { 2 } + 6 x - 5 , a = - 1$$

question 416

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$f ( x ) = x ^ { 4 } + 8 x ^ { 2 } + 6 x - 5 , a = - 1$$

• A) \(( x + 1 ) ^ { 4 } + 4 ( x + 1 ) ^ { 3 } + 14 ( x + 1 ) ^ { 2 } - 26 ( x + 1 ) + 8\)
• B) \(( x + 1 ) ^ { 4 } - 4 ( x + 1 ) ^ { 3 } + 14 ( x + 1 ) ^ { 2 } - 14 ( x + 1 ) - 2\)
• C) \(( x + 1 ) ^ { 4 } - 4 ( x + 1 ) ^ { 3 } + 14 ( x + 1 ) ^ { 2 } - 26 ( x + 1 ) + 8\)
• D) \(( x + 1 ) ^ { 4 } + 4 ( x + 1 ) ^ { 3 } + 14 ( x + 1 ) ^ { 2 } - 14 ( x + 1 ) - 2\)

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