Consider the function f(x) = x² - 2x - 1. Suppose an execution of the…

GATE · 2008 · IT

Consider the function f(x) = x² - 2x - 1. Suppose an execution of the Newton-Raphson method to find a zero of f(x) starts with an approximation x₀ = 2 of x. What is the value of x₂, the approximation of x that the algorithm produces after two iterations, rounded to three decimal places?

  1. A.

    2.417

  2. B.

    2.419

  3. C.

    2.423

  4. D.

    2.425

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