Question

Let f(x) = ln(x-1) + cos(x-1) = 0 for 1.3<=x<=2

Use Newton's method to approximate the zero of f(x) on the given interval that is accurate to within 10^-5. You may take any x_0 in [1.3,2]. Does the method converge? If so, how many iterations does it take to achieve the desired accuracy?

Will be working on this problem, could use some suggestions if possible.