Limit the number of interations to 100.

function [x,counter]=steffensen(f,x0,tol)

end

Write a matlab function [x, counter]=steffensen (f,x0,tol) to find the root of the function f with initial guess x0 and a estimated relative error less than tol using he Steffensen's method. The Steffensen's method is a modification of the Newton's method that does not require the evaluation of the derivative of the function. The iteration proceeds as follows: xi+1=xif(xi+f(xi))f(xi)f(xi)2. One way to look at it is that h=f(xi) is used as a step, and (f(xi+h)f(xi))/h is used as an estimate of the derivative