Question: numerical analysis let xn be a sequence of positive numbers...
Let xn be a sequence of positive numbers converging to zero. Show the following:
(a) If xn+1 = x2n, xn converges to 0 quadratically.
(b) If xn+1 = 1xn, xn converges to 0 linearly.2
(c) If xn+1 = n−n, xn converges to 0 superlinearly.