Find the Taylor Series Generated by F at X = $$f ( x ) = x ^ { 2 } + 6 x - 10 , a = 3$$

question 362

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$f ( x ) = x ^ { 2 } + 6 x - 10 , a = 3$$

• A) \(( x + 3 ) ^ { 2 } + 12 ( x + 3 ) + 37\)
• B) \(( x - 3 ) ^ { 2 } + 12 ( x - 3 ) + 17\)
• C) \(( x + 3 ) ^ { 2 } + 12 ( x + 3 ) + 17\)
• D) \(( x - 3 ) ^ { 2 } + 12 ( x - 3 ) + 37\)