Use a xed-point iteration method to nd an approximation to √3 that is accurate to within 10−4. Compare your result and
the number of iterations required with the answer obtained in Exercise 12 of Section 2.1.
Reference: Exercise 12
For each of the following equations, use the given interval or determine an interval [a, b] on which xed-point iteration
will converge. Estimate the number of iterations necessary to obtain approximations accurate to within 10−5, and perform
the calculations.
a. 2 + sin x − x = 0 use [2, 3] b. x3 − 2x − 5 = 0 use [2, 3]
c. 3x2 − ex = 0 d. x − cos x = 0