in Numerical Methods edited by
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The Newton – Raphson method is used to find the roots of the equation 

                                              $f(x) = x- \cos\pi x$                            $0\le x\leq1.$

If the initial guess for the root is $0.5$, then the value of $x$ after the first iteration is

  1. $1.02$
  2. $0.62$
  3. $0.55$
  4. $0.38$
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