3. The function f(x) = xe=^(-x) has a unique root x = 0. (a) Compute several iterations of the Newton's method, and conclude that the method does not succeed if x_0 > 1. (b) Draw graphs to illustrate...

3. The function f(x) = xe=^(-x) has a unique root x = 0.
(a) Compute several iterations of the Newton's method, and conclude that the method
does not succeed if x_0 > 1.
(b) Draw graphs to illustrate the rst few iteration when x_0 = 0.5 and x_0 = 1.5.