(5) Prove that for Anosov map induce on the 2D-torus T2 by using x1 = 2x + y, yi = X + y, all (x, y) of coordinates of rational numbers are on periodic orbits. w transcribed image text (5) Prove...
Question 4 of the image
Prove that, for all n 1 1 Arrange the following rational numbers in increasing order: (i) x, is a rational number 61/99, 3/5, 17/30, 601/999, 599/1001. g 0 2 Find positive integers r and s such that r/s is equal to the repeating decimal (ii) 2 x5/2. Find an expression for x - 5 involving x,-5, and hence explain (without formal proof) why x, tends to a limit which is not a rational number 0.30024....