Exercise 1.3.
(a) Define the order of convergence r and the asymptotic error constant Yr for a sequence {xk} that converges to x*.
(b) Write down the zeros of the univariate function
f(x) = x^2(2x - 3).
(c) Define the iterates of Newton's method for zero-finding when applied to the function
every Newton sequence that converges to a zero of f(x) = x^2(2x - 3).