In the Newton-Raphson method, an initial guess of \(x_0 = 2\) is made and the…

GATE · 2014 · CS · Set 2 · Computer Science & IT

In the Newton-Raphson method, an initial guess of \(x_0 = 2\) is made and the sequence \(x_0,x_1,x_2\) … is obtained for the function

\(0.75x^3 - 2x^2 - 2x + 4 = 0\)

Consider the statements

(I) \(x_3 = 0\).

(II) The method converges to a solution in a finite number of iterations.

Which of the following is TRUE?

  1. A.

    Only I

  2. B.

    Only II

  3. C.

    Both I and II

  4. D.

    Neither I nor II

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Correct answer: A

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