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Linear approximation of f(x) near x = a:
Af'(x) × a
Bf(a) × x
Cf(a) + f'(a)(x - a)
Df(a)²
Answer & Solution
Correct answer: C. f(a) + f'(a)(x - a)
Linearization: L(x) = f(a) + f'(a)(x - a). The tangent-line approximation. Valid for x near a (small Δx). Foundation of Taylor series (1st-order term).
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