Use the function described in Example 4.3, xn+1 = axan (1 xn2) where a = 2.5.

Question:

Use the function described in Example 4.3, xn+1 = axan (1 – xn2) where a = 2.5. Consider two starting values of x1 that are similar, 0.900 000 0 and 0.900 000. Make a plot of xn versus n for the two starting values and determine the lowest value of n for which the two values diverge by more than 30%.