Consider the sequence xₙ₊₁ = xₙ/2 + 9/(8xₙ), with x₀ = 0.5, obtained from the…

GATE · 2007 · CS

Consider the sequence xₙ₊₁ = xₙ/2 + 9/(8xₙ), with x₀ = 0.5, obtained from the Newton-Raphson method. The sequence converges to:

  1. A.

    1.5

  2. B.

    √2

  3. C.

    1.6

  4. D.

    1.4

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Correct answer: A

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