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A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which

1. $f(x_0) > 0$
2. $f (x_0) f''(x_0) > 0$
3. $f(x_0) f'' (x_0) < 0$
4. $f''(x_0) >0$
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No answer and myself also no idea. Please provide a solution to this.

F(x)>0
by (11 points)
0
Answer is A since in numerical methods, any law of differentiation is not used and also in numerical methods f(x) converges to 0 and A satisfies this condition.