Mathematics · Calculus
Select the correct Taylor series expansion of f(x) = x4 about x = -3.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(x + 3)4 - 15(x + 3)3 + 45(x + 3)2 - 108(x + 3) + 81
- 2(x + 3)4 - 15(x + 3)3 + 54(x + 3)2 - 108(x + 3) + 81
- 3(x + 3)4 - 12(x + 3)3 + 54(x + 3)2 - 108(x + 3) + 81✓
- 4(x + 3)4 - 15(x + 3)3 + 54(x + 3)2 - 108(x + 3) + 80
Correct answer
(x + 3)4 - 12(x + 3)3 + 54(x + 3)2 - 108(x + 3) + 81
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