8 votes 8 votes 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 $f(x_0) > 0$ $f (x_0) f''(x_0) > 0$ $f(x_0) f'' (x_0) < 0$ $f''(x_0) >0$ Numerical Methods isro2009 numerical-methods + – Desert_Warrior asked Jun 3, 2016 Desert_Warrior 2.9k views answer comment Share Follow See 1 comment See all 1 1 comment reply Tuhin Dutta commented Feb 26, 2018 reply Follow Share No answer and myself also no idea. Please provide a solution to this. 2 votes 2 votes Please log in or register to add a comment.
0 votes 0 votes F(x)>0 Roman224 answered Oct 7, 2018 Roman224 comment Share Follow See 1 comment See all 1 1 comment reply Jhaiyam commented Feb 23, 2020 reply Follow Share 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. 0 votes 0 votes Please log in or register to add a comment.