Mathematics · Calculus and Taylor Series
The second-order (quadratic) Taylor polynomial approximation of a function f(x) around point x = a is represented by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) ≈ f'(x) + f''(x) + a
- 2f(x) ≈ f'(a) + f''(a)(x - a)
- 3f(x) ≈ f(a) + f'(a)(x - a) + 12f''(a)(x - a)2✓
- 4f(x) ≈ f(c) + f'(a)(x - a) + f''(a)(x - a)2
Correct answer
f(x) ≈ f(a) + f'(a)(x - a) + 12f''(a)(x - a)2
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