Questions 1. Let (an) be a sequence given by 1 + 7 GinH 2 an an (a) Prove that (1% 2 7 for every n E N. with 0,1 = 3. (b) Using part (a), or otherwise, prove that (an) is monotone decreasing. (c) Using part (a) and (b), or otherwise, prove that (an) is convergent and write down its limit explicitly. (d) Dening lim(an) = a, write down an approximation to a by calculating a4 explic itly