Use Newtons method to attempt to find a solution for the equation (x) = (x - 1)

Use Newton’s method to attempt to find a solution for the equation ƒ(x) = (x - 1)^1/3 = 0 by starting with a value very close to 1, which is obviously the true solution. Verify that the approximations get worse with each iteration of Newton’s method. This is one of those rare cases in which Newton’s method doesn’t work at all. Discuss why this is so by considering what happens to the tangent line at x = 1.