Mathematics · Numerical Analysis
If the iteration formula xk+1 = xk + b(xk2 - 3) converges to the positive root α = √3, given that x0 = a (a > 0) is a sufficiently close initial approximation, then which of the following is true for the constant b?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1b ∈ (-1a, 0)✓
- 2b ∈ (-∞, 1a)
- 3b ∈ (-a, 0)
- 4b ∈ (0, 1a)
Correct answer
b ∈ (-1a, 0)
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