Problem 1 Consider a) Verity that for I a": [I h) Denote I = [l], [1.5] 1) Show that x} = D has a. unique solution in I. this solution is called "a.\" 2] Determine an appreximated value of \"al1 within 101 aecuraey. 1:) Consider the sequence {in dened recursiver by n; = and 3.14.1 = 321*\": 1] Dene gm} = ei''2 and show that HI) = is equivalent to 9(1) = .1: 2] Deduee the value of g[a} 3] Show that Va: E I; |g'[m]| 5% 4] Show that 'u'n: E I; g[:r} E I :1) Show that 1} lrn+1 - III E Elrn -=| 2) pm [1| 5 (3)" 3} the sequence In converges and nd its limit L e] 1) Determine the positive integer N such that |~ o|