3.5 Section 3.1 Bisection

After n iterations, \(c_{n}\) , which is \(\left (\frac {a_{n}+b_{n}}{2}\right ) \) is at a distance from root given by

\[ \left \vert c_{n}-r\right \vert =\frac {b_{0}-a_{0}}{2^{n+1}}\]