I am currently doing a question on Newton-Raphson method and I am not sure what it means by 'explain your stopping criterion'.
Using the Newton-Raphson method with initial guess $x_0=1.5$, solve the equation $$x^2=2$$ correct to four decimal places. Be sure to explain your stopping criterion
So my issue is not working out Newton-Raphson, you just follow the equation, to which I make it $1.4142$ after three iterations which is to 4 d.p but what dose it mean by 'stopping criterion'?
In an computer lab, we have done code for this and in a while loop we set the to |$f(x_0)$|>$\epsilon $
where epsilon was set by us, and the lower we set $\epsilon$ the more iterations were produced. But there was a limit on this, and from that I got the gist it was a convergence limit? But I am not sure if or how this relates to this question nor how one would workout the stopping criterion.