The iteration 22 = 2, 2n+1 = 21-2/1 - 1 - 41-9 z. n = 2, 3, ... converges to at, that is lim 2n = 1. Write a Matlab program that implements this iteration and outputs the relative error, for n up to n = 30. 

Explain the behaviour of the computed sequence. Why does it not converge to ?