Give a geometric interpretation of newton’s method.
(c) suppose newton’s method is used to solve the equation
0 = x(cos(x) - 1).
(c1) what is the value of p1 using an initial guess of p0 = 0.1?
(c2) why do we expect newton’s method to give less than quadratic con-
vergence in this example?
(c3) give a modified algorithm that would give quadratic convergence.