I am having trouble working out this. I have got this equation, x^2 -x - 0.5 = 0. Then the answer is 0.5√3, which is +/-0.366. How can you find that value?
Any help needed.
The question is about finding the limit using the fixed point rule. You can do that using the quadratic equation, not sure if that is what I should do. The question is this:
x0 = xn+1 = xn^2 -1/2 (n= 0,1,2...)
Generated by this function f(x) = x^2 - 1/2 appears to converge to a limit between -0.5 and 0. Assuming that this convergence does occur, find the value of the limit.
This question came after learning the fixed point rule, which I don't understand. If you have a link or knowledge about that; that would be useful.