a.) Which of the following queues are restricted: i. ) (Xn), where Xn = n'tn for every n E N1. 2n2+1 ii. ) (Xn), where x1 * 0 and Xn+1 = -2xn for every n E N1. b.) Using the definition of a limit, justify that the sequence n-+1 i. ) does not converge. n+5 (-1)nn ii.) does not converge. n+1 c.) Let ()n) be a diverging sequence and let (X) be a sequence such that X, = Vn !" for every n E N1. n Show that the sequence (x,) diverges