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The equation $x^{3}-x^{2}+4 x-4=0$ is to be solved using the Newton-Raphson method. If $x=2$ is taken as the initial approximation of the solution, then the next approximation using this method will be

  1. $\frac{2}{3}$
  2. $\frac{4}{3}$
  3. $1$
  4. $\frac{3}{2}$
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