Write a program that implements a fixed-point iteration (Algorithm 2.2).

(a) Use your program to calculate 21^1/3 via the methods (a,b,d) of Problem 3 of Section 2.2.

For part #3(c), use the same as above instead: pn = pn1 + p 3 n1 21 5 .

(b) Verify which method is convergent, and verify that the ranking (fastest to slowest) of the methods is what you expected