GATE CS 2014 Set 2 Q46 — Numerical Methods (Historical)

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

$$0.75x^3-2x^2-2x+4=0$$

Consider the statements

1. $x_3\:=\:0$
2. The method converges to a solution in a finite number of iterations.

Which of the following is TRUE?