# GATE2012-28

The Newton – Raphson method is used to find the roots of the equation

f(x) = x- cos$\pi$x                            0$\le$x$\leq$1.

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
in Others
edited